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338870640 = 24351411961
BaseRepresentation
bin10100001100101…
…100000101110000
3212121122102010110
4110030230011300
51143222330030
653343101320
711253232023
oct2414540560
9777572113
10338870640
11164313589
12955a1840
135528a594
14330111ba
151eb3b1b0
hex1432c170

338870640 has 40 divisors (see below), whose sum is σ = 1050499728. Its totient is φ = 90365440.

The previous prime is 338870629. The next prime is 338870723. The reversal of 338870640 is 46078833.

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

It is a super-2 number, since 2×3388706402 = 229666621308019200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 705741 + ... + 706220.

Almost surely, 2338870640 is an apocalyptic number.

338870640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338870640 is an abundant number, since it is smaller than the sum of its proper divisors (711629088).

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

338870640 is a wasteful number, since it uses less digits than its factorization.

338870640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411977 (or 1411971 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 338870640 is about 18408.4393689416. The cubic root of 338870640 is about 697.1795627325.

The spelling of 338870640 in words is "three hundred thirty-eight million, eight hundred seventy thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1411961 2823922 4235883 5647844 7059805 8471766 11295688 14119610 16943532 21179415 22591376 28239220 33887064 42358830 56478440 67774128 84717660 112956880 169435320 338870640