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334253412 = 223337233359
BaseRepresentation
bin10011111011000…
…100110101100100
3212021221211111000
4103323010311210
51141032102122
653100113300
711166051513
oct2373046544
9767854430
10334253412
1116174a599
1293b35830
1354331aac
143256c67a
151e5280ac
hex13ec4d64

334253412 has 96 divisors (see below), whose sum is σ = 896313600. Its totient is φ = 107640576.

The previous prime is 334253401. The next prime is 334253441. The reversal of 334253412 is 214352433.

It is a super-2 number, since 2×3342534122 = 223450686867283488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 930889 + ... + 931247.

It is an arithmetic number, because the mean of its divisors is an integer number (9336600).

Almost surely, 2334253412 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 334253412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448156800).

334253412 is an abundant number, since it is smaller than the sum of its proper divisors (562060188).

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

334253412 is a wasteful number, since it uses less digits than its factorization.

334253412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 634 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 334253412 is about 18282.5986117948. The cubic root of 334253412 is about 693.9986352045.

The spelling of 334253412 in words is "three hundred thirty-four million, two hundred fifty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 233 333 359 444 466 666 699 718 932 999 1077 1332 1398 1436 1998 2097 2154 2796 3231 3996 4194 4308 6291 6462 8388 8621 9693 12582 12924 13283 17242 19386 25164 25863 26566 34484 38772 39849 51726 53132 77589 79698 83647 103452 119547 155178 159396 167294 232767 239094 250941 310356 334588 358641 465534 478188 501882 717282 752823 931068 1003764 1434564 1505646 2258469 3011292 3094939 4516938 6189878 9033876 9284817 12379756 18569634 27854451 37139268 55708902 83563353 111417804 167126706 334253412