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145353432 = 23372813079
BaseRepresentation
bin10001010100111…
…10101011011000
3101010111201102110
420222132223120
5244202302212
622231232320
73413324640
oct1052365330
9333451373
10145353432
1175059204
12408186a0
1324162c63
1415439520
15cb62a3c
hex8a9ead8

145353432 has 64 divisors (see below), whose sum is σ = 416908800. Its totient is φ = 41368320.

The previous prime is 145353431. The next prime is 145353437. The reversal of 145353432 is 234353541.

145353432 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 2×1453534322 = 42255240388357248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145353432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145353431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45669 + ... + 48747.

It is an arithmetic number, because the mean of its divisors is an integer number (6514200).

Almost surely, 2145353432 is an apocalyptic number.

145353432 is a gapful number since it is divisible by the number (12) 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 145353432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208454400).

145353432 is an abundant number, since it is smaller than the sum of its proper divisors (271555368).

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

145353432 is a wasteful number, since it uses less digits than its factorization.

145353432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3376 (or 3372 counting only the distinct ones).

The product of its digits is 21600, while the sum is 30.

The square root of 145353432 is about 12056.2611119700. The cubic root of 145353432 is about 525.7852882822.

The spelling of 145353432 in words is "one hundred forty-five million, three hundred fifty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 281 562 843 1124 1686 1967 2248 3079 3372 3934 5901 6158 6744 7868 9237 11802 12316 15736 18474 21553 23604 24632 36948 43106 47208 64659 73896 86212 129318 172424 258636 517272 865199 1730398 2595597 3460796 5191194 6056393 6921592 10382388 12112786 18169179 20764776 24225572 36338358 48451144 72676716 145353432