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354382368 = 25318711973
BaseRepresentation
bin10101000111110…
…111001000100000
3220200211111012220
4111013313020200
51211210213433
655055351040
711532125514
oct2507671040
9820744186
10354382368
1117204879a
129a822480
135855bb12
14350cc144
15211a22b3
hex151f7220

354382368 has 48 divisors (see below), whose sum is σ = 931222656. Its totient is φ = 118004480.

The previous prime is 354382339. The next prime is 354382373. The reversal of 354382368 is 863283453.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 178630 + ... + 180602.

It is an arithmetic number, because the mean of its divisors is an integer number (19400472).

Almost surely, 2354382368 is an apocalyptic number.

It is an amenable number.

354382368 is an abundant number, since it is smaller than the sum of its proper divisors (576840288).

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

354382368 is a wasteful number, since it uses less digits than its factorization.

354382368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3857 (or 3849 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 354382368 is about 18825.0462947638. The cubic root of 354382368 is about 707.6590014183.

The spelling of 354382368 in words is "three hundred fifty-four million, three hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1871 1973 3742 3946 5613 5919 7484 7892 11226 11838 14968 15784 22452 23676 29936 31568 44904 47352 59872 63136 89808 94704 179616 189408 3691483 7382966 11074449 14765932 22148898 29531864 44297796 59063728 88595592 118127456 177191184 354382368