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3404164604022 = 2327133613575213
BaseRepresentation
bin110001100010011000000…
…001011010000001110110
3110001102202002021110011100
4301202120001122001312
5421233212114312042
611123503541350530
7500641241464560
oct61423001320166
913042662243140
103404164604022
1110a2775199786
1246b8bba08446
131b901bc02b80
14baa9621a330
155d83ba7924c
hex3189805a076

3404164604022 has 96 divisors (see below), whose sum is σ = 9080300593728. Its totient is φ = 897551601408.

The previous prime is 3404164604021. The next prime is 3404164604081. The reversal of 3404164604022 is 2204064614043.

3404164604022 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 1 + 646 + 0 + 4 + 0 + 2 + 2 = 666.

It is a super-3 number, since 3×34041646040223 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3404164604021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5630488 + ... + 6205700.

It is an arithmetic number, because the mean of its divisors is an integer number (94586464518).

Almost surely, 23404164604022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3404164604022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4540150296864).

3404164604022 is an abundant number, since it is smaller than the sum of its proper divisors (5676135989706).

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

3404164604022 is a wasteful number, since it uses less digits than its factorization.

3404164604022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578854 (or 578851 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 3404164604022 in words is "three trillion, four hundred four billion, one hundred sixty-four million, six hundred four thousand, twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 3613 7226 10839 21678 25291 32517 46969 50582 65034 75873 93938 140907 151746 227619 281814 328783 422721 455238 575213 657566 845442 986349 1150426 1725639 1972698 2959047 3451278 4026491 5176917 5918094 7477769 8052982 10353834 12079473 14955538 22433307 24158946 36238419 44866614 52344383 67299921 72476838 104688766 134599842 157033149 314066298 471099447 942198894 2078244569 4156489138 6234733707 12469467414 14547711983 18704201121 27017179397 29095423966 37408402242 43643135949 54034358794 81051538191 87286271898 130929407847 162103076382 189120255779 243154614573 261858815694 378240511558 486309229146 567360767337 1134721534674 1702082302011 3404164604022