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336407412 = 2231131229359
BaseRepresentation
bin10100000011010…
…010101101110100
3212110000021012210
4110003102231310
51142110014122
653214213420
711223262425
oct2403225564
9773007183
10336407412
11162990960
12947b4270
1354907353
143296d64c
151e80140c
hex140d2b74

336407412 has 96 divisors (see below), whose sum is σ = 890265600. Its totient is φ = 97948800.

The previous prime is 336407411. The next prime is 336407431. The reversal of 336407412 is 214704633.

It is a super-2 number, since 2×3364074122 = 226339893697075488, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 336407412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336407411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 936889 + ... + 937247.

It is an arithmetic number, because the mean of its divisors is an integer number (9273600).

Almost surely, 2336407412 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 336407412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445132800).

336407412 is an abundant number, since it is smaller than the sum of its proper divisors (553858188).

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

336407412 is a wasteful number, since it uses less digits than its factorization.

336407412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 336407412 is about 18341.4124865017. The cubic root of 336407412 is about 695.4862025815.

The spelling of 336407412 in words is "three hundred thirty-six million, four hundred seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 229 341 359 372 458 682 687 718 916 1023 1077 1364 1374 1436 2046 2154 2519 2748 3949 4092 4308 5038 7099 7557 7898 10076 11129 11847 14198 15114 15796 21297 22258 23694 28396 30228 33387 42594 44516 47388 66774 78089 82211 85188 122419 133548 156178 164422 234267 244838 246633 312356 328844 367257 468534 489676 493266 734514 904321 937068 986532 1469028 1808642 2548541 2712963 3617284 5097082 5425926 7645623 10194164 10851852 15291246 28033951 30582492 56067902 84101853 112135804 168203706 336407412