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145621344 = 25311373727
BaseRepresentation
bin10001010111000…
…00000101100000
3101011000022221010
420223200011200
5244234340334
622241100520
73415522011
oct1053400540
9334008833
10145621344
1175221520
1240927740
1324227b9b
14154a9008
15cbb70e9
hex8ae0160

145621344 has 96 divisors (see below), whose sum is σ = 428391936. Its totient is φ = 42923520.

The previous prime is 145621319. The next prime is 145621361. The reversal of 145621344 is 443126541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37209 + ... + 40935.

It is an arithmetic number, because the mean of its divisors is an integer number (4462416).

Almost surely, 2145621344 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 145621344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214195968).

145621344 is an abundant number, since it is smaller than the sum of its proper divisors (282770592).

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

145621344 is a wasteful number, since it uses less digits than its factorization.

145621344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788 (or 3780 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 145621344 is about 12067.3669041759. The cubic root of 145621344 is about 526.1081283393.

Adding to 145621344 its reverse (443126541), we get a palindrome (588747885).

The spelling of 145621344 in words is "one hundred forty-five million, six hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 88 96 111 132 148 176 222 264 296 352 407 444 528 592 814 888 1056 1184 1221 1628 1776 2442 3256 3552 3727 4884 6512 7454 9768 11181 13024 14908 19536 22362 29816 39072 40997 44724 59632 81994 89448 119264 122991 137899 163988 178896 245982 275798 327976 357792 413697 491964 551596 655952 827394 983928 1103192 1311904 1516889 1654788 1967856 2206384 3033778 3309576 3935712 4412768 4550667 6067556 6619152 9101334 12135112 13238304 18202668 24270224 36405336 48540448 72810672 145621344