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354061840 = 24511402343
BaseRepresentation
bin10101000110101…
…000111000010000
3220200020012112111
4111012220320100
51211114434330
655044435104
711526322156
oct2506507020
9820205474
10354061840
111719499a0
129a6a8a94
1358478c62
14350473d6
152113c32a
hex151a8e10

354061840 has 40 divisors (see below), whose sum is σ = 898031808. Its totient is φ = 128749440.

The previous prime is 354061831. The next prime is 354061853. The reversal of 354061840 is 48160453.

It is a happy number.

354061840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200292 + ... + 202051.

Almost surely, 2354061840 is an apocalyptic number.

It is an amenable number.

354061840 is an abundant number, since it is smaller than the sum of its proper divisors (543969968).

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

354061840 is a wasteful number, since it uses less digits than its factorization.

354061840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402367 (or 402361 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 354061840 is about 18816.5310299215. The cubic root of 354061840 is about 707.4455850969.

The spelling of 354061840 in words is "three hundred fifty-four million, sixty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 402343 804686 1609372 2011715 3218744 4023430 4425773 6437488 8046860 8851546 16093720 17703092 22128865 32187440 35406184 44257730 70812368 88515460 177030920 354061840