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345053232 = 24323177559
BaseRepresentation
bin10100100100010…
…001100000110000
3220001021112001100
4110210101200300
51201313200412
654123404400
711356622046
oct2444214060
9801245040
10345053232
11167856667
1297683700
1356643714
1433b80396
152045cedc
hex14911830

345053232 has 60 divisors (see below), whose sum is σ = 968844240. Its totient is φ = 114639744.

The previous prime is 345053227. The next prime is 345053249. The reversal of 345053232 is 232350543.

It is a junction number, because it is equal to n+sod(n) for n = 345053196 and 345053205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41869 + ... + 49427.

It is an arithmetic number, because the mean of its divisors is an integer number (16147404).

Almost surely, 2345053232 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 345053232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484422120).

345053232 is an abundant number, since it is smaller than the sum of its proper divisors (623791008).

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

345053232 is a wasteful number, since it uses less digits than its factorization.

345053232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7890 (or 7881 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 345053232 is about 18575.6085230067. The cubic root of 345053232 is about 701.3939786535.

The spelling of 345053232 in words is "three hundred forty-five million, fifty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 317 634 951 1268 1902 2536 2853 3804 5072 5706 7559 7608 11412 15118 15216 22677 22824 30236 45354 45648 60472 68031 90708 120944 136062 181416 272124 362832 544248 1088496 2396203 4792406 7188609 9584812 14377218 19169624 21565827 28754436 38339248 43131654 57508872 86263308 115017744 172526616 345053232