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345974260 = 225311813083
BaseRepresentation
bin10100100111110…
…010010111110100
3220010000022110111
4110213302113310
51202032134020
654155232404
711400506212
oct2447622764
9803008414
10345974260
11168325645
1297a48704
13568a69c8
1433d3dcb2
1520590d5a
hex149f25f4

345974260 has 48 divisors (see below), whose sum is σ = 754371072. Its totient is φ = 133142400.

The previous prime is 345974221. The next prime is 345974269. The reversal of 345974260 is 62479543.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345974269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110679 + ... + 113761.

It is an arithmetic number, because the mean of its divisors is an integer number (15716064).

Almost surely, 2345974260 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 345974260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377185536).

345974260 is an abundant number, since it is smaller than the sum of its proper divisors (408396812).

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

345974260 is a wasteful number, since it uses less digits than its factorization.

345974260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3304 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 345974260 is about 18600.3833293833. The cubic root of 345974260 is about 702.0174858944.

The spelling of 345974260 in words is "three hundred forty-five million, nine hundred seventy-four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 181 310 362 620 724 905 1810 3083 3620 5611 6166 11222 12332 15415 22444 28055 30830 56110 61660 95573 112220 191146 382292 477865 558023 955730 1116046 1911460 2232092 2790115 5580230 11160460 17298713 34597426 69194852 86493565 172987130 345974260