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338426412 = 2231753113277
BaseRepresentation
bin10100001010111…
…111101000101100
3212120210211202120
4110022333220230
51143114121122
653325352540
711246401632
oct2412775054
9776724676
10338426412
1116403a855
1295408750
135516331c
1432d37352
151ea9e75c
hex142bfa2c

338426412 has 96 divisors (see below), whose sum is σ = 862529472. Its totient is φ = 102875136.

The previous prime is 338426401. The next prime is 338426443. The reversal of 338426412 is 214624833.

It is a super-2 number, since 2×3384264122 = 229064872678387488, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1221618 + ... + 1221894.

It is an arithmetic number, because the mean of its divisors is an integer number (8984682).

Almost surely, 2338426412 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 338426412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431264736).

338426412 is an abundant number, since it is smaller than the sum of its proper divisors (524103060).

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

338426412 is a wasteful number, since it uses less digits than its factorization.

338426412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 465 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 338426412 is about 18396.3695331443. The cubic root of 338426412 is about 696.8747835856.

The spelling of 338426412 in words is "three hundred thirty-eight million, four hundred twenty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 53 68 102 106 113 159 204 212 226 277 318 339 452 554 636 678 831 901 1108 1356 1662 1802 1921 2703 3324 3604 3842 4709 5406 5763 5989 7684 9418 10812 11526 11978 14127 14681 17967 18836 23052 23956 28254 29362 31301 35934 44043 56508 58724 62602 71868 88086 93903 101813 125204 176172 187806 203626 249577 305439 375612 407252 499154 532117 610878 748731 998308 1064234 1221756 1497462 1596351 1658953 2128468 2994924 3192702 3317906 4976859 6385404 6635812 9953718 19907436 28202201 56404402 84606603 112808804 169213206 338426412