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355655140 = 225102117417
BaseRepresentation
bin10101001100101…
…101110111100100
3220210020011010121
4111030231313210
51212021431030
655142531324
711546006311
oct2514556744
9823204117
10355655140
11172837a75
129b136b44
13588b6239
143533dd08
152135447a
hex1532dde4

355655140 has 24 divisors (see below), whose sum is σ = 747650232. Its totient is φ = 142114560.

The previous prime is 355655123. The next prime is 355655149. The reversal of 355655140 is 41556553.

It can be written as a sum of positive squares in 4 ways, for example, as 124858276 + 230796864 = 11174^2 + 15192^2 .

It is a super-3 number, since 3×3556551403 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 355655096 and 355655105.

It is not an unprimeable number, because it can be changed into a prime (355655149) 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, 11712 + ... + 29128.

It is an arithmetic number, because the mean of its divisors is an integer number (31152093).

Almost surely, 2355655140 is an apocalyptic number.

It is an amenable number.

355655140 is an abundant number, since it is smaller than the sum of its proper divisors (391995092).

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

355655140 is a wasteful number, since it uses less digits than its factorization.

355655140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18447 (or 18445 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 34.

The square root of 355655140 is about 18858.8212781181. The cubic root of 355655140 is about 708.5051801124.

The spelling of 355655140 in words is "three hundred fifty-five million, six hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 1021 2042 4084 5105 10210 17417 20420 34834 69668 87085 174170 348340 17782757 35565514 71131028 88913785 177827570 355655140