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344354960 = 2454304437
BaseRepresentation
bin10100100001100…
…111000010010000
3212222222001012102
4110201213002100
51201123324320
654100415532
711350653215
oct2441470220
9788861172
10344354960
11167419a84
12973a75a8
135645a941
1433a3bb0c
1520371175
hex14867090

344354960 has 20 divisors (see below), whose sum is σ = 800625468. Its totient is φ = 137741952.

The previous prime is 344354953. The next prime is 344354963. The reversal of 344354960 is 69453443.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 214212496 + 130142464 = 14636^2 + 11408^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (344354963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2152139 + ... + 2152298.

Almost surely, 2344354960 is an apocalyptic number.

It is an amenable number.

344354960 is an abundant number, since it is smaller than the sum of its proper divisors (456270508).

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

344354960 is a wasteful number, since it uses less digits than its factorization.

344354960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4304450 (or 4304444 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 38.

The square root of 344354960 is about 18556.8036040693. The cubic root of 344354960 is about 700.9205304284.

The spelling of 344354960 in words is "three hundred forty-four million, three hundred fifty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4304437 8608874 17217748 21522185 34435496 43044370 68870992 86088740 172177480 344354960