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145341392 = 24731411021
BaseRepresentation
bin10001010100110…
…11101111010000
3101010111002220112
420222123233100
5244201411032
622231100452
73413244560
oct1052335720
9333432815
10145341392
1175050159
1240811728
132415a631
1415434da0
15cb5e1b2
hex8a9bbd0

145341392 has 80 divisors (see below), whose sum is σ = 340644864. Its totient is φ = 58752000.

The previous prime is 145341379. The next prime is 145341403. The reversal of 145341392 is 293143541.

145341392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1453413922 = 42248240456995328, which contains 22 as substring.

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, 141842 + ... + 142862.

Almost surely, 2145341392 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 145341392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170322432).

145341392 is an abundant number, since it is smaller than the sum of its proper divisors (195303472).

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

145341392 is a wasteful number, since it uses less digits than its factorization.

145341392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1102 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 145341392 is about 12055.7617760140. The cubic root of 145341392 is about 525.7707704971.

The spelling of 145341392 in words is "one hundred forty-five million, three hundred forty-one thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 31 41 56 62 82 112 124 164 217 248 287 328 434 496 574 656 868 1021 1148 1271 1736 2042 2296 2542 3472 4084 4592 5084 7147 8168 8897 10168 14294 16336 17794 20336 28588 31651 35588 41861 57176 63302 71176 83722 114352 126604 142352 167444 221557 253208 293027 334888 443114 506416 586054 669776 886228 1172108 1297691 1772456 2344216 2595382 3544912 4688432 5190764 9083837 10381528 18167674 20763056 36335348 72670696 145341392