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334025628426 = 232717643242521
BaseRepresentation
bin1001101110001010111…
…10101001101100001010
31011221011211011001011100
410313011132221230022
520433041030102201
6413241012242230
733063315665250
oct4670536515412
91157154131140
10334025628426
11119728839576
12548a0610376
1325663219659
141224a0925d0
158a4e921886
hex4dc57a9b0a

334025628426 has 96 divisors (see below), whose sum is σ = 877130287488. Its totient is φ = 89681955840.

The previous prime is 334025628397. The next prime is 334025628439. The reversal of 334025628426 is 624826520433.

334025628426 is a `hidden beast` number, since 3 + 3 + 4 + 0 + 2 + 562 + 84 + 2 + 6 = 666.

It is a super-2 number, since 2×3340256284262 (a number of 24 digits) contains 22 as substring.

It is a Curzon 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, 1256046 + ... + 1498566.

It is an arithmetic number, because the mean of its divisors is an integer number (9136773828).

Almost surely, 2334025628426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334025628426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438565143744).

334025628426 is an abundant number, since it is smaller than the sum of its proper divisors (543104659062).

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

334025628426 is a wasteful number, since it uses less digits than its factorization.

334025628426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243196 (or 243193 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 334025628426 in words is "three hundred thirty-four billion, twenty-five million, six hundred twenty-eight thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 643 714 1071 1286 1929 2142 3858 4501 5787 9002 10931 11574 13503 21862 27006 32793 40509 65586 76517 81018 98379 153034 196758 229551 242521 459102 485042 688653 727563 1377306 1455126 1697647 2182689 3395294 4122857 4365378 5092941 8245714 10185882 12368571 15278823 24737142 28859999 30557646 37105713 57719998 74211426 86579997 155941003 173159994 259739991 311882006 467823009 519479982 935646018 1091587021 1403469027 2183174042 2650997051 2806938054 3274761063 5301994102 6549522126 7952991153 9824283189 15905982306 18556979357 19648566378 23858973459 37113958714 47717946918 55670938071 111341876142 167012814213 334025628426