Search a number
-
+
307090836 = 2232133161347
BaseRepresentation
bin10010010011011…
…101010110010100
3210101211211102200
4102103131112110
51112103401321
650250004500
710416141363
oct2223352624
9711754380
10307090836
11148387988
1286a16730
134b811470
142cadb7da
151be5ed26
hex124dd594

307090836 has 144 divisors (see below), whose sum is σ = 879610368. Its totient is φ = 89683200.

The previous prime is 307090813. The next prime is 307090841. The reversal of 307090836 is 638090703.

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 307090836.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 884815 + ... + 885161.

Almost surely, 2307090836 is an apocalyptic number.

307090836 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 307090836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439805184).

307090836 is an abundant number, since it is smaller than the sum of its proper divisors (572519532).

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

307090836 is a wasteful number, since it uses less digits than its factorization.

307090836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 307090836 is about 17524.0074183961. The cubic root of 307090836 is about 674.6661987417. Note that the first 3 decimals are identical.

The spelling of 307090836 in words is "three hundred seven million, ninety thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 61 62 78 93 117 122 124 156 183 186 234 244 279 347 366 372 403 468 549 558 694 732 793 806 1041 1098 1116 1209 1388 1586 1612 1891 2082 2196 2379 2418 3123 3172 3627 3782 4164 4511 4758 4836 5673 6246 7137 7254 7564 9022 9516 10757 11346 12492 13533 14274 14508 17019 18044 21167 21514 22692 24583 27066 28548 32271 34038 40599 42334 43028 49166 54132 63501 64542 68076 73749 81198 84668 96813 98332 127002 129084 139841 147498 162396 190503 193626 221247 254004 275171 279682 294996 381006 387252 419523 442494 550342 559364 656177 762012 825513 839046 884988 1100684 1258569 1312354 1651026 1678092 1968531 2476539 2517138 2624708 3302052 3937062 4953078 5034276 5905593 7874124 8530301 9906156 11811186 17060602 23622372 25590903 34121204 51181806 76772709 102363612 153545418 307090836