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334885716 = 2232111947947
BaseRepresentation
bin10011111101011…
…111001101010100
3212100010221211200
4103331133031110
51141212320331
653121432500
711204324124
oct2375371524
9770127750
10334885716
11162041660
129419b730
13544c3839
1432694c84
151e6005e6
hex13f5f354

334885716 has 144 divisors (see below), whose sum is σ = 993807360. Its totient is φ = 93994560.

The previous prime is 334885709. The next prime is 334885721. The reversal of 334885716 is 617588433.

334885716 is a `hidden beast` number, since 33 + 48 + 8 + 571 + 6 = 666.

334885716 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 2×3348857162 = 224296885561665312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353155 + ... + 354101.

It is an arithmetic number, because the mean of its divisors is an integer number (6901440).

Almost surely, 2334885716 is an apocalyptic number.

334885716 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334885716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496903680).

334885716 is an abundant number, since it is smaller than the sum of its proper divisors (658921644).

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

334885716 is a wasteful number, since it uses less digits than its factorization.

334885716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1029 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 334885716 is about 18299.8829504453. The cubic root of 334885716 is about 694.4359697587.

It can be divided in two parts, 33488 and 5716, that added together give a square (39204 = 1982).

The spelling of 334885716 in words is "three hundred thirty-four million, eight hundred eighty-five thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 47 57 66 76 94 99 114 132 141 171 188 198 209 228 282 342 396 418 423 517 564 627 684 836 846 893 947 1034 1254 1551 1692 1786 1881 1894 2068 2508 2679 2841 3102 3572 3762 3788 4653 5358 5682 6204 7524 8037 8523 9306 9823 10417 10716 11364 16074 17046 17993 18612 19646 20834 29469 31251 32148 34092 35986 39292 41668 44509 53979 58938 62502 71972 88407 89018 93753 107958 117876 125004 133527 161937 176814 178036 187506 197923 215916 267054 323874 353628 375012 395846 400581 489599 534108 593769 647748 791692 801162 845671 979198 1187538 1468797 1602324 1691342 1781307 1958396 2375076 2537013 2937594 3382684 3562614 4406391 5074026 5875188 7125228 7611039 8812782 9302381 10148052 15222078 17625564 18604762 27907143 30444156 37209524 55814286 83721429 111628572 167442858 334885716