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338857540 = 22572345773
BaseRepresentation
bin10100001100101…
…000111001000100
3212121121202011021
4110030220321010
51143221420130
653342520524
711253145600
oct2414507104
9777552137
10338857540
1116430475a
1295596144
1355284628
143300a500
151eb3737a
hex14328e44

338857540 has 36 divisors (see below), whose sum is σ = 827782956. Its totient is φ = 116179392.

The previous prime is 338857499. The next prime is 338857601. The reversal of 338857540 is 45758833.

It can be written as a sum of positive squares in 2 ways, for example, as 177262596 + 161594944 = 13314^2 + 12712^2 .

It is a super-2 number, since 2×3388575402 = 229648864829703200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (43) 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171907 + ... + 173866.

It is an arithmetic number, because the mean of its divisors is an integer number (22993971).

Almost surely, 2338857540 is an apocalyptic number.

It is an amenable number.

338857540 is an abundant number, since it is smaller than the sum of its proper divisors (488925416).

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

338857540 is a wasteful number, since it uses less digits than its factorization.

338857540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345796 (or 345787 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The square root of 338857540 is about 18408.0835504406. The cubic root of 338857540 is about 697.1705788029.

The spelling of 338857540 in words is "three hundred thirty-eight million, eight hundred fifty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 345773 691546 1383092 1728865 2420411 3457730 4840822 6915460 9681644 12102055 16942877 24204110 33885754 48408220 67771508 84714385 169428770 338857540