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345797496 = 233211735981
BaseRepresentation
bin10100100111000…
…111001101111000
3220002200022222200
4110213013031320
51202011004441
654151350200
711366141652
oct2447071570
9802608880
10345797496
11168214860
1297982360
1356844405
1433cd56d2
15205587b6
hex149c7378

345797496 has 96 divisors (see below), whose sum is σ = 1035843120. Its totient is φ = 103334400.

The previous prime is 345797489. The next prime is 345797513. The reversal of 345797496 is 694797543.

It is a happy number.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54826 + ... + 60806.

Almost surely, 2345797496 is an apocalyptic number.

345797496 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 345797496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517921560).

345797496 is an abundant number, since it is smaller than the sum of its proper divisors (690045624).

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

345797496 is a wasteful number, since it uses less digits than its factorization.

345797496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6077 (or 6070 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 345797496 is about 18595.6310998041. The cubic root of 345797496 is about 701.8979080599.

The spelling of 345797496 in words is "three hundred forty-five million, seven hundred ninety-seven thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 73 88 99 132 146 198 219 264 292 396 438 584 657 792 803 876 1314 1606 1752 2409 2628 3212 4818 5256 5981 6424 7227 9636 11962 14454 17943 19272 23924 28908 35886 47848 53829 57816 65791 71772 107658 131582 143544 197373 215316 263164 394746 430632 436613 526328 592119 789492 873226 1184238 1309839 1578984 1746452 2368476 2619678 3492904 3929517 4736952 4802743 5239356 7859034 9605486 10478712 14408229 15718068 19210972 28816458 31436136 38421944 43224687 57632916 86449374 115265832 172898748 345797496