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334352161404 = 2232292311138581
BaseRepresentation
bin1001101110110001111…
…00010001101001111100
31011222000120120122012100
410313120330101221330
520434223123131104
6413333235105100
733104362323402
oct4673074215174
91158016518170
10334352161404
11119886095638
1254971a42190
13256b5a77331
141227b5b1472
158a6d422139
hex4dd8f11a7c

334352161404 has 72 divisors (see below), whose sum is σ = 874696324320. Its totient is φ = 107560252800.

The previous prime is 334352161399. The next prime is 334352161421. The reversal of 334352161404 is 404161253433.

334352161404 is a `hidden beast` number, since 3 + 3 + 4 + 35 + 2 + 1 + 614 + 0 + 4 = 666.

It is a super-2 number, since 2×3343521614042 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2343394 + ... + 2481974.

It is an arithmetic number, because the mean of its divisors is an integer number (12148560060).

Almost surely, 2334352161404 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 334352161404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437348162160).

334352161404 is an abundant number, since it is smaller than the sum of its proper divisors (540344162916).

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

334352161404 is a wasteful number, since it uses less digits than its factorization.

334352161404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140931 (or 140926 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 334352161404 in words is "three hundred thirty-four billion, three hundred fifty-two million, one hundred sixty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 2311 4622 6933 9244 13866 20799 27732 41598 67019 83196 134038 138581 201057 268076 277162 402114 415743 554324 603171 804228 831486 1206342 1247229 1662972 2412684 2494458 4018849 4988916 8037698 12056547 16075396 24113094 36169641 48226188 72339282 144678564 320260691 640521382 960782073 1281042764 1921564146 2882346219 3843128292 5764692438 9287560039 11529384876 18575120078 27862680117 37150240156 55725360234 83588040351 111450720468 167176080702 334352161404