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345253412 = 22726167431
BaseRepresentation
bin10100100101000…
…010011000100100
3220001122200122102
4110211002120210
51201341102122
654131551232
711361414500
oct2445023044
9801580572
10345253412
11167982aa9
129775b518
13566b387a
1433bd3300
152049c492
hex14942624

345253412 has 72 divisors (see below), whose sum is σ = 726703488. Its totient is φ = 143035200.

The previous prime is 345253411. The next prime is 345253423. The reversal of 345253412 is 214352543.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (345253411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 800837 + ... + 801267.

It is an arithmetic number, because the mean of its divisors is an integer number (10093104).

Almost surely, 2345253412 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 345253412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363351744).

345253412 is an abundant number, since it is smaller than the sum of its proper divisors (381450076).

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

345253412 is a wasteful number, since it uses less digits than its factorization.

345253412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 568 counting only the distinct ones).

The product of its digits is 14400, while the sum is 29.

The square root of 345253412 is about 18580.9959905275. The cubic root of 345253412 is about 701.5295885544.

The spelling of 345253412 in words is "three hundred forty-five million, two hundred fifty-three thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 49 61 67 98 122 134 196 244 268 427 431 469 854 862 938 1708 1724 1876 2989 3017 3283 4087 5978 6034 6566 8174 11956 12068 13132 16348 21119 26291 28609 28877 42238 52582 57218 57754 84476 105164 114436 115508 184037 200263 202139 368074 400526 404278 736148 801052 808556 1288259 1414973 1761497 2576518 2829946 3522994 5153036 5659892 7045988 12330479 24660958 49321916 86313353 172626706 345253412