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21742344 = 2334132989
BaseRepresentation
bin101001011110…
…0001100001000
31111220121220000
41102330030020
521031223334
62054003000
7352543521
oct122741410
944817800
1021742344
1111300388
127346460
1346734c0
142c5d848
151d97299
hex14bc308

21742344 has 160 divisors (see below), whose sum is σ = 68607000. Its totient is φ = 6386688.

The previous prime is 21742333. The next prime is 21742363. The reversal of 21742344 is 44324712.

It can be written as a sum of positive squares in 4 ways, for example, as 11819844 + 9922500 = 3438^2 + 3150^2 .

It is a super-2 number, since 2×217423442 = 945459045228672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 244252 + ... + 244340.

Almost surely, 221742344 is an apocalyptic number.

21742344 is a gapful number since it is divisible by the number (24) 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 21742344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34303500).

21742344 is an abundant number, since it is smaller than the sum of its proper divisors (46864656).

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

21742344 is a wasteful number, since it uses less digits than its factorization.

21742344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 21742344 is about 4662.8686449438. The cubic root of 21742344 is about 279.1057524876.

The spelling of 21742344 in words is "twenty-one million, seven hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 29 36 39 52 54 58 72 78 81 87 89 104 108 116 117 156 162 174 178 216 232 234 261 267 312 324 348 351 356 377 468 522 534 648 696 702 712 754 783 801 936 1044 1053 1068 1131 1157 1404 1508 1566 1602 2088 2106 2136 2262 2314 2349 2403 2581 2808 3016 3132 3204 3393 3471 4212 4524 4628 4698 4806 5162 6264 6408 6786 6942 7209 7743 8424 9048 9256 9396 9612 10179 10324 10413 13572 13884 14418 15486 18792 19224 20358 20648 20826 23229 27144 27768 28836 30537 30972 31239 33553 40716 41652 46458 57672 61074 61944 62478 67106 69687 81432 83304 92916 93717 100659 122148 124956 134212 139374 185832 187434 201318 209061 244296 249912 268424 278748 301977 374868 402636 418122 557496 603954 749736 805272 836244 905931 1207908 1672488 1811862 2415816 2717793 3623724 5435586 7247448 10871172 21742344