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14244984 = 2334131989
BaseRepresentation
bin110110010101…
…110001111000
3222210201110000
4312111301320
512121314414
61225153000
7232036365
oct66256170
928721400
1014244984
11804a516
12492b760
132c49ab0
141c6b46c
1513b5b09
hexd95c78

14244984 has 160 divisors (see below), whose sum is σ = 45738000. Its totient is φ = 4105728.

The previous prime is 14244983. The next prime is 14244991. The reversal of 14244984 is 48944241.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (14244983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 160012 + ... + 160100.

Almost surely, 214244984 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 14244984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22869000).

14244984 is an abundant number, since it is smaller than the sum of its proper divisors (31493016).

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

14244984 is a wasteful number, since it uses less digits than its factorization.

14244984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 126 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 14244984 is about 3774.2527737289. The cubic root of 14244984 is about 242.4119296158.

The spelling of 14244984 in words is "fourteen million, two hundred forty-four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 81 89 104 108 114 117 152 156 162 171 178 216 228 234 247 267 312 324 342 351 356 456 468 494 513 534 648 684 702 712 741 801 936 988 1026 1053 1068 1157 1368 1404 1482 1539 1602 1691 1976 2052 2106 2136 2223 2314 2403 2808 2964 3078 3204 3382 3471 4104 4212 4446 4628 4806 5073 5928 6156 6408 6669 6764 6942 7209 8424 8892 9256 9612 10146 10413 12312 13338 13528 13884 14418 15219 17784 19224 20007 20292 20826 21983 26676 27768 28836 30438 31239 40014 40584 41652 43966 45657 53352 57672 60876 62478 65949 80028 83304 87932 91314 93717 121752 124956 131898 136971 160056 175864 182628 187434 197847 249912 263796 273942 365256 374868 395694 527592 547884 593541 749736 791388 1095768 1187082 1582776 1780623 2374164 3561246 4748328 7122492 14244984