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309239136 = 253219311823
BaseRepresentation
bin10010011011101…
…001110101100000
3210112212222100100
4102123221311200
51113131123021
650404022400
710443326553
oct2233516540
9715788310
10309239136
11149614a38
1287691a00
134c0b424b
142d0da69a
151c236626
hex126e9d60

309239136 has 144 divisors (see below), whose sum is σ = 956067840. Its totient is φ = 94452480.

The previous prime is 309239131. The next prime is 309239137. The reversal of 309239136 is 631932903.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 309239136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309239131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168721 + ... + 170543.

It is an arithmetic number, because the mean of its divisors is an integer number (6639360).

Almost surely, 2309239136 is an apocalyptic number.

309239136 is a gapful number since it is divisible by the number (36) 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 309239136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478033920).

309239136 is an abundant number, since it is smaller than the sum of its proper divisors (646828704).

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

309239136 is a wasteful number, since it uses less digits than its factorization.

309239136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 309239136 is about 17585.1965016033. The cubic root of 309239136 is about 676.2357871741.

The spelling of 309239136 in words is "three hundred nine million, two hundred thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 32 36 38 48 57 62 72 76 93 96 114 124 144 152 171 186 228 248 279 288 304 342 372 456 496 558 589 608 684 744 912 992 1116 1178 1368 1488 1767 1823 1824 2232 2356 2736 2976 3534 3646 4464 4712 5301 5469 5472 7068 7292 8928 9424 10602 10938 14136 14584 16407 18848 21204 21876 28272 29168 32814 34637 42408 43752 56513 56544 58336 65628 69274 84816 87504 103911 113026 131256 138548 169539 169632 175008 207822 226052 262512 277096 311733 339078 415644 452104 508617 525024 554192 623466 678156 831288 904208 1017234 1073747 1108384 1246932 1356312 1662576 1808416 2034468 2147494 2493864 2712624 3221241 3325152 4068936 4294988 4987728 5425248 6442482 8137872 8589976 9663723 9975456 12884964 16275744 17179952 19327446 25769928 34359904 38654892 51539856 77309784 103079712 154619568 309239136