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338427924 = 2231910314411
BaseRepresentation
bin10100001011000…
…000000000010100
3212120210220211120
4110023000000110
51143114143144
653325403540
711246406222
oct2413000024
9776726746
10338427924
111640409aa
12954095b0
1355163c13
1432d37b12
151ea9ee19
hex142c0014

338427924 has 48 divisors (see below), whose sum is σ = 839354880. Its totient is φ = 105827040.

The previous prime is 338427919. The next prime is 338427967. The reversal of 338427924 is 429724833.

It is a super-2 number, since 2×3384279242 = 229066919485899552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16279 + ... + 30689.

It is an arithmetic number, because the mean of its divisors is an integer number (17486560).

Almost surely, 2338427924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338427924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419677440).

338427924 is an abundant number, since it is smaller than the sum of its proper divisors (500926956).

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

338427924 is a wasteful number, since it uses less digits than its factorization.

338427924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14540 (or 14538 counting only the distinct ones).

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

The square root of 338427924 is about 18396.4106281633. The cubic root of 338427924 is about 696.8758214017.

The spelling of 338427924 in words is "three hundred thirty-eight million, four hundred twenty-seven thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 103 114 206 228 309 412 618 1236 1957 3914 5871 7828 11742 14411 23484 28822 43233 57644 86466 172932 273809 547618 821427 1095236 1484333 1642854 2968666 3285708 4452999 5937332 8905998 17811996 28202327 56404654 84606981 112809308 169213962 338427924