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354249252 = 223271405751
BaseRepresentation
bin10101000111010…
…110101000100100
3220200120201121200
4111013112220210
51211141434002
655052442500
711531032440
oct2507265044
9820521550
10354249252
11171a67785
129a779430
1358513356
1435095820
1521177b1c
hex151d6a24

354249252 has 36 divisors (see below), whose sum is σ = 1023387456. Its totient is φ = 101214000.

The previous prime is 354249221. The next prime is 354249263. The reversal of 354249252 is 252942453.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×3542492523 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 702624 + ... + 703127.

Almost surely, 2354249252 is an apocalyptic number.

It is an amenable number.

354249252 is an abundant number, since it is smaller than the sum of its proper divisors (669138204).

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

354249252 is a wasteful number, since it uses less digits than its factorization.

354249252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405768 (or 1405763 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 354249252 is about 18821.5103538478. The cubic root of 354249252 is about 707.5703847701.

The spelling of 354249252 in words is "three hundred fifty-four million, two hundred forty-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1405751 2811502 4217253 5623004 8434506 9840257 12651759 16869012 19680514 25303518 29520771 39361028 50607036 59041542 88562313 118083084 177124626 354249252