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355974138 = 232132336529
BaseRepresentation
bin10101001101111…
…011101111111010
3220210211100201100
4111031323233322
51212112133023
655153432230
711551505322
oct2515735772
9823740640
10355974138
11172a35703
129b26b676
13589984b0
14353c4282
15213b8c43
hex1537bbfa

355974138 has 48 divisors (see below), whose sum is σ = 834298920. Its totient is φ = 109043712.

The previous prime is 355974131. The next prime is 355974163. The reversal of 355974138 is 831479553.

It can be written as a sum of positive squares in 4 ways, for example, as 107060409 + 248913729 = 10347^2 + 15777^2 .

It is a junction number, because it is equal to n+sod(n) for n = 355974093 and 355974102.

It is not an unprimeable number, because it can be changed into a prime (355974131) 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, 51258 + ... + 57786.

Almost surely, 2355974138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355974138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417149460).

355974138 is an abundant number, since it is smaller than the sum of its proper divisors (478324782).

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

355974138 is a wasteful number, since it uses less digits than its factorization.

355974138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6783 (or 6780 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 355974138 is about 18867.2769100366. The cubic root of 355974138 is about 708.7169434859.

The spelling of 355974138 in words is "three hundred fifty-five million, nine hundred seventy-four thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 233 234 466 699 1398 2097 3029 4194 6058 6529 9087 13058 18174 19587 27261 39174 54522 58761 84877 117522 169754 254631 509262 763893 1521257 1527786 3042514 4563771 9127542 13691313 19776341 27382626 39552682 59329023 118658046 177987069 355974138