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338386740 = 223518131159
BaseRepresentation
bin10100001010110…
…101111100110100
3212120201211100020
4110022311330310
51143111333430
653324445140
711246145156
oct2412657464
9776654306
10338386740
11164012a6a
12953a97b0
135514b253
1432d26ad6
151ea92b10
hex142b5f34

338386740 has 48 divisors (see below), whose sum is σ = 952748160. Its totient is φ = 89735040.

The previous prime is 338386723. The next prime is 338386747. The reversal of 338386740 is 47683833.

338386740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3383867402 = 229011171615655200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338386692 and 338386701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338386747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4720 + ... + 26439.

It is an arithmetic number, because the mean of its divisors is an integer number (19848920).

Almost surely, 2338386740 is an apocalyptic number.

338386740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338386740 is an abundant number, since it is smaller than the sum of its proper divisors (614361420).

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

338386740 is a wasteful number, since it uses less digits than its factorization.

338386740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31352 (or 31350 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 338386740 is about 18395.2912453160. The cubic root of 338386740 is about 696.8475521642.

The spelling of 338386740 in words is "three hundred thirty-eight million, three hundred eighty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 181 362 543 724 905 1086 1810 2172 2715 3620 5430 10860 31159 62318 93477 124636 155795 186954 311590 373908 467385 623180 934770 1869540 5639779 11279558 16919337 22559116 28198895 33838674 56397790 67677348 84596685 112795580 169193370 338386740