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307090432 = 21011137199
BaseRepresentation
bin10010010011011…
…101010000000000
3210101211210212201
4102103131100000
51112103343212
650250002544
710416140245
oct2223352000
9711753781
10307090432
11148387650
1286a16454
134b81121c
142cadb5cc
151be5eb57
hex124dd400

307090432 has 88 divisors (see below), whose sum is σ = 677966400. Its totient is φ = 137871360.

The previous prime is 307090429. The next prime is 307090439. The reversal of 307090432 is 234090703.

It is a tau number, because it is divible by the number of its divisors (88).

It is a self number, because there is not a number n which added to its sum of digits gives 307090432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307090439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1543069 + ... + 1543267.

Almost surely, 2307090432 is an apocalyptic number.

307090432 is a gapful number since it is divisible by the number (32) 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 307090432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338983200).

307090432 is an abundant number, since it is smaller than the sum of its proper divisors (370875968).

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

307090432 is a wasteful number, since it uses less digits than its factorization.

307090432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 307090432 is about 17523.9958913485. The cubic root of 307090432 is about 674.6659028843.

The spelling of 307090432 in words is "three hundred seven million, ninety thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 137 176 199 256 274 352 398 512 548 704 796 1024 1096 1408 1507 1592 2189 2192 2816 3014 3184 4378 4384 5632 6028 6368 8756 8768 11264 12056 12736 17512 17536 24112 25472 27263 35024 35072 48224 50944 54526 70048 70144 96448 101888 109052 140096 140288 192896 203776 218104 280192 299893 385792 436208 560384 599786 771584 872416 1120768 1199572 1543168 1744832 2241536 2399144 3489664 4798288 6979328 9596576 13958656 19193152 27917312 38386304 76772608 153545216 307090432