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345863616 = 2637257339
BaseRepresentation
bin10100100111010…
…111010111000000
3220002210200200120
4110213113113000
51202020113431
654153020240
711366535510
oct2447272700
9802720616
10345863616
1116825a4aa
12979b4680
1356868537
1433d11840
152056d196
hex149d75c0

345863616 has 56 divisors (see below), whose sum is σ = 1045829760. Its totient is φ = 98817792.

The previous prime is 345863611. The next prime is 345863633. The reversal of 345863616 is 616368543.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345863611) 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, 127326 + ... + 130013.

Almost surely, 2345863616 is an apocalyptic number.

It is an amenable number.

345863616 is an abundant number, since it is smaller than the sum of its proper divisors (699966144).

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

345863616 is a wasteful number, since it uses less digits than its factorization.

345863616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257361 (or 257351 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 345863616 is about 18597.4088517729. The cubic root of 345863616 is about 701.9426418830.

The spelling of 345863616 in words is "three hundred forty-five million, eight hundred sixty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 257339 514678 772017 1029356 1544034 1801373 2058712 3088068 3602746 4117424 5404119 6176136 7205492 8234848 10808238 12352272 14410984 16469696 21616476 24704544 28821968 43232952 49409088 57643936 86465904 115287872 172931808 345863616