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355680036 = 22329880001
BaseRepresentation
bin10101001100110…
…011111100100100
3220210021102021200
4111030303330210
51212023230121
655143242500
711546142015
oct2514637444
9823242250
10355680036
11172854748
129b149430
13588c467a
143534900c
152135ba26
hex15333f24

355680036 has 18 divisors (see below), whose sum is σ = 899080182. Its totient is φ = 118560000.

The previous prime is 355680007. The next prime is 355680049. The reversal of 355680036 is 630086553.

It can be written as a sum of positive squares in only one way, i.e., 332697600 + 22982436 = 18240^2 + 4794^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×3556800362 = 253016576017922592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 9880001 = 355680036 / (3 + 5 + 5 + 6 + 8 + 0 + 0 + 3 + 6).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4939965 + ... + 4940036.

It is an arithmetic number, because the mean of its divisors is an integer number (49948899).

Almost surely, 2355680036 is an apocalyptic number.

355680036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

355680036 is an abundant number, since it is smaller than the sum of its proper divisors (543400146).

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

355680036 is a wasteful number, since it uses less digits than its factorization.

355680036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9880011 (or 9880006 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 355680036 is about 18859.4813290292. The cubic root of 355680036 is about 708.5217116073.

The spelling of 355680036 in words is "three hundred fifty-five million, six hundred eighty thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 9880001 19760002 29640003 39520004 59280006 88920009 118560012 177840018 355680036