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334264330680 = 23357953417559
BaseRepresentation
bin1001101110100111011…
…01001110100110111000
31011221210110022101002120
410313103231032212320
520434033132040210
6413320420401240
733102244634220
oct4672355164670
91157713271076
10334264330680
11119840556065
1254948546220
13256a08048a7
141226da6b080
158a65873270
hex4dd3b4e9b8

334264330680 has 128 divisors (see below), whose sum is σ = 1147254451200. Its totient is φ = 76322921472.

The previous prime is 334264330669. The next prime is 334264330691. The reversal of 334264330680 is 86033462433.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (334264330669) and next prime (334264330691).

It is a super-2 number, since 2×3342643306802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 591741 + ... + 1009299.

It is an arithmetic number, because the mean of its divisors is an integer number (8962925400).

Almost surely, 2334264330680 is an apocalyptic number.

334264330680 is a gapful number since it is divisible by the number (30) 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 334264330680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573627225600).

334264330680 is an abundant number, since it is smaller than the sum of its proper divisors (812990120520).

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

334264330680 is a wasteful number, since it uses less digits than its factorization.

334264330680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418533 (or 418529 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 42.

The spelling of 334264330680 in words is "three hundred thirty-four billion, two hundred sixty-four million, three hundred thirty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 953 1906 2859 3812 4765 5718 6671 7624 9530 11436 13342 14295 19060 20013 22872 26684 28590 33355 38120 40026 53368 57180 66710 80052 100065 114360 133420 160104 200130 266840 400260 417559 800520 835118 1252677 1670236 2087795 2505354 2922913 3340472 4175590 5010708 5845826 6263385 8351180 8768739 10021416 11691652 12526770 14614565 16702360 17537478 23383304 25053540 29229130 35074956 43843695 50107080 58458260 70149912 87687390 116916520 175374780 350749560 397933727 795867454 1193801181 1591734908 1989668635 2387602362 2785536089 3183469816 3979337270 4775204724 5571072178 5969005905 7958674540 8356608267 9550409448 11142144356 11938011810 13927680445 15917349080 16713216534 22284288712 23876023620 27855360890 33426433068 41783041335 47752047240 55710721780 66852866136 83566082670 111421443560 167132165340 334264330680