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338157840 = 24351408991
BaseRepresentation
bin10100001001111…
…110000100010000
3212120022012100110
4110021332010100
51143032022330
653315521320
711244202626
oct2411760420
9776265313
10338157840
11163976a99
12952b9240
135509acc7
1432ca7516
151ea49db0
hex1427e110

338157840 has 40 divisors (see below), whose sum is σ = 1048290048. Its totient is φ = 90175360.

The previous prime is 338157821. The next prime is 338157847. The reversal of 338157840 is 48751833.

338157840 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 super-2 number, since 2×3381578402 = 228701449506931200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338157847) by changing a digit.

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, 704256 + ... + 704735.

Almost surely, 2338157840 is an apocalyptic number.

338157840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338157840 is an abundant number, since it is smaller than the sum of its proper divisors (710132208).

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

338157840 is a wasteful number, since it uses less digits than its factorization.

338157840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409007 (or 1409001 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 338157840 is about 18389.0684919057. The cubic root of 338157840 is about 696.6903903869.

The spelling of 338157840 in words is "three hundred thirty-eight million, one hundred fifty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1408991 2817982 4226973 5635964 7044955 8453946 11271928 14089910 16907892 21134865 22543856 28179820 33815784 42269730 56359640 67631568 84539460 112719280 169078920 338157840