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145608384 = 2634153349
BaseRepresentation
bin10001010110111…
…00111011000000
3101010222200011010
420223130323000
5244233432014
622240520520
73415436145
oct1053347300
9333880133
10145608384
1175212809
1240920140
132422200c
14154a43cc
15cbb3359
hex8adcec0

145608384 has 112 divisors (see below), whose sum is σ = 403250400. Its totient is φ = 46325760.

The previous prime is 145608371. The next prime is 145608409. The reversal of 145608384 is 483806541.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 417042 + ... + 417390.

It is an arithmetic number, because the mean of its divisors is an integer number (3600450).

Almost surely, 2145608384 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 145608384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201625200).

145608384 is an abundant number, since it is smaller than the sum of its proper divisors (257642016).

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

145608384 is a wasteful number, since it uses less digits than its factorization.

145608384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 145608384 is about 12066.8299068148. The cubic root of 145608384 is about 526.0925203626.

The spelling of 145608384 in words is "one hundred forty-five million, six hundred eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 53 64 82 96 106 123 159 164 192 212 246 318 328 349 424 492 636 656 698 848 984 1047 1272 1312 1396 1696 1968 2094 2173 2544 2624 2792 3392 3936 4188 4346 5088 5584 6519 7872 8376 8692 10176 11168 13038 14309 16752 17384 18497 22336 26076 28618 33504 34768 36994 42927 52152 55491 57236 67008 69536 73988 85854 104304 110982 114472 139072 147976 171708 208608 221964 228944 295952 343416 417216 443928 457888 591904 686832 758377 887856 915776 1183808 1373664 1516754 1775712 2275131 2747328 3033508 3551424 4550262 6067016 9100524 12134032 18201048 24268064 36402096 48536128 72804192 145608384