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662434344 = 2332112135849
BaseRepresentation
bin100111011110111…
…111001000101000
31201011111011002100
4213132333020220
52324040344334
6145422133400
722262412315
oct4736771050
91634434070
10662434344
1130aa21800
12165a21260
13a73188b0
1463d99d0c
153d251c99
hex277bf228

662434344 has 144 divisors (see below), whose sum is σ = 2124076500. Its totient is φ = 185264640.

The previous prime is 662434321. The next prime is 662434349. The reversal of 662434344 is 443434266.

It can be written as a sum of positive squares in 2 ways, for example, as 612562500 + 49871844 = 24750^2 + 7062^2 .

It is a super-2 number, since 2×6624343442 = 877638520221420672, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 662434299 and 662434308.

It is not an unprimeable number, because it can be changed into a prime (662434349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 110332 + ... + 116180.

Almost surely, 2662434344 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 662434344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062038250).

662434344 is an abundant number, since it is smaller than the sum of its proper divisors (1461642156).

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

662434344 is a wasteful number, since it uses less digits than its factorization.

662434344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5896 (or 5878 counting only the distinct ones).

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

The square root of 662434344 is about 25737.7999059749. The cubic root of 662434344 is about 871.7279016646.

The spelling of 662434344 in words is "six hundred sixty-two million, four hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 121 132 143 156 198 234 242 264 286 312 363 396 429 468 484 572 726 792 858 936 968 1089 1144 1287 1452 1573 1716 2178 2574 2904 3146 3432 4356 4719 5148 5849 6292 8712 9438 10296 11698 12584 14157 17547 18876 23396 28314 35094 37752 46792 52641 56628 64339 70188 76037 105282 113256 128678 140376 152074 193017 210564 228111 257356 304148 386034 421128 456222 514712 579051 608296 684333 707729 772068 836407 912444 1158102 1368666 1415458 1544136 1672814 1824888 2123187 2316204 2509221 2737332 2830916 3345628 4246374 4632408 5018442 5474664 5661832 6369561 6691256 7527663 8492748 9200477 10036884 12739122 15055326 16985496 18400954 20073768 25478244 27601431 30110652 36801908 50956488 55202862 60221304 73603816 82804293 110405724 165608586 220811448 331217172 662434344