Search a number
-
+
629161344 = 273478669
BaseRepresentation
bin100101100000000…
…011110110000000
31121211212201010000
4211200003312000
52242031130334
6142233040000
721406532430
oct4540036600
91554781100
10629161344
112a3166259
12156856000
13a0468c26
145d7b82c0
153a37d299
hex25803d80

629161344 has 160 divisors (see below), whose sum is σ = 2140102800. Its totient is φ = 179739648.

The previous prime is 629161327. The next prime is 629161349. The reversal of 629161344 is 443161926.

629161344 is a `hidden beast` number, since 629 + 16 + 13 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 629161299 and 629161308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (629161349) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68242 + ... + 76910.

Almost surely, 2629161344 is an apocalyptic number.

629161344 is a gapful number since it is divisible by the number (64) 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 629161344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070051400).

629161344 is an abundant number, since it is smaller than the sum of its proper divisors (1510941456).

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

629161344 is an equidigital number, since it uses as much as digits as its factorization.

629161344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8702 (or 8681 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 629161344 is about 25083.0888050096. The cubic root of 629161344 is about 856.8813236370.

The spelling of 629161344 in words is "six hundred twenty-nine million, one hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2688 3024 3456 4032 4536 5184 6048 8064 8669 9072 10368 12096 17338 18144 24192 26007 34676 36288 52014 60683 69352 72576 78021 104028 121366 138704 156042 182049 208056 234063 242732 277408 312084 364098 416112 468126 485464 546147 554816 624168 702189 728196 832224 936252 970928 1092294 1109632 1248336 1404378 1456392 1638441 1664448 1872504 1941856 2184588 2496672 2808756 2912784 3276882 3328896 3745008 3883712 4369176 4915323 4993344 5617512 5825568 6553764 7490016 7767424 8738352 9830646 9986688 11235024 11651136 13107528 14980032 17476704 19661292 22470048 23302272 26215056 29960064 34953408 39322584 44940096 52430112 69906816 78645168 89880192 104860224 157290336 209720448 314580672 629161344