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3404321431344 = 2432196718571187
BaseRepresentation
bin110001100010100001010…
…111101001111100110000
3110001110011000101002210200
4301202201113221330300
5421234022241300334
611123531302555200
7500645154501231
oct61424127517460
913043130332720
103404321431344
1110a2845774439
1246b944438b00
131b90455524c2
14baaacda1088
155d84a706799
hex318a15e9f30

3404321431344 has 120 divisors (see below), whose sum is σ = 10178496719040. Its totient is φ = 1059003310464.

The previous prime is 3404321431319. The next prime is 3404321431409. The reversal of 3404321431344 is 4431341234043.

3404321431344 is a `hidden beast` number, since 3 + 40 + 432 + 143 + 1 + 3 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3404321431299 and 3404321431308.

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, 9102282 + ... + 9468905.

It is an arithmetic number, because the mean of its divisors is an integer number (84820805992).

Almost surely, 23404321431344 is an apocalyptic number.

It is an amenable number.

3404321431344 is an abundant number, since it is smaller than the sum of its proper divisors (6774175287696).

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

3404321431344 is a wasteful number, since it uses less digits than its factorization.

3404321431344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18571287 (or 18571278 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 3404321431344 its reverse (4431341234043), we get a palindrome (7835662665387).

The spelling of 3404321431344 in words is "three trillion, four hundred four billion, three hundred twenty-one million, four hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 67 72 76 114 134 144 152 171 201 228 268 304 342 402 456 536 603 684 804 912 1072 1206 1273 1368 1608 2412 2546 2736 3216 3819 4824 5092 7638 9648 10184 11457 15276 20368 22914 30552 45828 61104 91656 183312 18571187 37142374 55713561 74284748 111427122 148569496 167140683 222854244 297138992 334281366 352852553 445708488 668562732 705705106 891416976 1058557659 1244269529 1337125464 1411410212 2117115318 2488539058 2674250928 2822820424 3175672977 3732808587 4234230636 4977078116 5645640848 6351345954 7465617174 8468461272 9954156232 11198425761 12702691908 14931234348 16936922544 19908312464 22396851522 23641121051 25405383816 29862468696 44793703044 47282242102 50810767632 59724937392 70923363153 89587406088 94564484204 141846726306 179174812176 189128968408 212770089459 283693452612 378257936816 425540178918 567386905224 851080357836 1134773810448 1702160715672 3404321431344