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145518336 = 283337569
BaseRepresentation
bin10001010110001…
…10111100000000
3101010211002122000
420223012330000
5244223041321
622234544000
73414612465
oct1053067400
9333732560
10145518336
1175161097
1240898000
13241c0032
141547d66c
15cb96826
hex8ac6f00

145518336 has 144 divisors (see below), whose sum is σ = 442730400. Its totient is φ = 47112192.

The previous prime is 145518323. The next prime is 145518341. The reversal of 145518336 is 633815541.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1455183362 = 42351172224417792, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 145518336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255460 + ... + 256028.

Almost surely, 2145518336 is an apocalyptic number.

145518336 is a gapful number since it is divisible by the number (16) 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 145518336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221365200).

145518336 is an abundant number, since it is smaller than the sum of its proper divisors (297212064).

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

145518336 is an equidigital number, since it uses as much as digits as its factorization.

145518336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 611 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 145518336 is about 12063.0981095239. The cubic root of 145518336 is about 525.9840482471.

It can be divided in two parts, 1455 and 18336, that added together give a palindrome (19791).

The spelling of 145518336 in words is "one hundred forty-five million, five hundred eighteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 256 288 296 333 384 432 444 569 576 592 666 768 864 888 999 1138 1152 1184 1332 1707 1728 1776 1998 2276 2304 2368 2664 3414 3456 3552 3996 4552 4736 5121 5328 6828 6912 7104 7992 9104 9472 10242 10656 13656 14208 15363 15984 18208 20484 21053 21312 27312 28416 30726 31968 36416 40968 42106 42624 54624 61452 63159 63936 72832 81936 84212 85248 109248 122904 126318 127872 145664 163872 168424 189477 218496 245808 252636 255744 327744 336848 378954 436992 491616 505272 568431 655488 673696 757908 983232 1010544 1136862 1310976 1347392 1515816 1966464 2021088 2273724 2694784 3031632 3932928 4042176 4547448 5389568 6063264 8084352 9094896 12126528 16168704 18189792 24253056 36379584 48506112 72759168 145518336