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644636328 = 2337171311723
BaseRepresentation
bin100110011011000…
…101111010101000
31122220222220210120
4212123011322220
52310011330303
6143544443240
721655214130
oct4633057250
91586886716
10644636328
113009758a6
1215ba79520
13a372681b
1461885ac0
153b8d8553
hex266c5ea8

644636328 has 128 divisors (see below), whose sum is σ = 1966187520. Its totient is φ = 171924480.

The previous prime is 644636327. The next prime is 644636329. The reversal of 644636328 is 823636446.

It is a happy number.

644636328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (644636327) and next prime (644636329).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 644636328.

It is not an unprimeable number, because it can be changed into a prime (644636327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373275 + ... + 374997.

It is an arithmetic number, because the mean of its divisors is an integer number (15360840).

Almost surely, 2644636328 is an apocalyptic number.

644636328 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 644636328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983093760).

644636328 is an abundant number, since it is smaller than the sum of its proper divisors (1321551192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

644636328 is a wasteful number, since it uses less digits than its factorization.

644636328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1883 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The square root of 644636328 is about 25389.6894033779. The cubic root of 644636328 is about 863.8498431612.

The spelling of 644636328 in words is "six hundred forty-four million, six hundred thirty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 131 136 168 204 238 262 357 393 408 476 524 714 786 917 952 1048 1428 1572 1723 1834 2227 2751 2856 3144 3446 3668 4454 5169 5502 6681 6892 7336 8908 10338 11004 12061 13362 13784 15589 17816 20676 22008 24122 26724 29291 31178 36183 41352 46767 48244 53448 58582 62356 72366 87873 93534 96488 117164 124712 144732 175746 187068 205037 225713 234328 289464 351492 374136 410074 451426 615111 677139 702984 820148 902852 1230222 1354278 1579991 1640296 1805704 2460444 2708556 3159982 3837121 4739973 4920888 5417112 6319964 7674242 9479946 11511363 12639928 15348484 18959892 23022726 26859847 30696968 37919784 46045452 53719694 80579541 92090904 107439388 161159082 214878776 322318164 644636328