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309952136 = 231331127757
BaseRepresentation
bin10010011110010…
…111111010001000
3210121020012101202
4102132113322020
51113321432021
650431203332
710452356354
oct2236277210
9717205352
10309952136
11149a6169a
1287976548
134c2a3940
142d244464
151c327a0b
hex12797e88

309952136 has 64 divisors (see below), whose sum is σ = 652001280. Its totient is φ = 137168640.

The previous prime is 309952099. The next prime is 309952147. The reversal of 309952136 is 631259903.

309952136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3099521362 = 192140653221924992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 309952136.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409070 + ... + 409826.

It is an arithmetic number, because the mean of its divisors is an integer number (10187520).

Almost surely, 2309952136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309952136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326000640).

309952136 is an abundant number, since it is smaller than the sum of its proper divisors (342049144).

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

309952136 is a wasteful number, since it uses less digits than its factorization.

309952136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 38.

The square root of 309952136 is about 17605.4575629263. The cubic root of 309952136 is about 676.7551112953.

The spelling of 309952136 in words is "three hundred nine million, nine hundred fifty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 127 248 254 403 508 757 806 1016 1514 1612 1651 3028 3224 3302 3937 6056 6604 7874 9841 13208 15748 19682 23467 31496 39364 46934 51181 78728 93868 96139 102362 187736 192278 204724 305071 384556 409448 610142 769112 1220284 1249807 2440568 2499614 2980309 4999228 5960618 9998456 11921236 23842472 38744017 77488034 154976068 309952136