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145943424 = 2733112349
BaseRepresentation
bin10001011001011…
…10101110000000
3101011121200202000
420230232232000
5244330142144
622252024000
73421333014
oct1054565600
9334550660
10145943424
1175421500
1240a62000
132430b673
1415550544
15cc2c769
hex8b2eb80

145943424 has 192 divisors, whose sum is σ = 474810000. Its totient is φ = 44098560.

The previous prime is 145943417. The next prime is 145943431. The reversal of 145943424 is 424349541.

145943424 is a `hidden beast` number, since 14 + 594 + 34 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (145943417) and next prime (145943431).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418002 + ... + 418350.

Almost surely, 2145943424 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 145943424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237405000).

145943424 is an abundant number, since it is smaller than the sum of its proper divisors (328866576).

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

145943424 is a wasteful number, since it uses less digits than its factorization.

145943424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 365 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 145943424 is about 12080.7046152118. The cubic root of 145943424 is about 526.4957183441.

The spelling of 145943424 in words is "one hundred forty-five million, nine hundred forty-three thousand, four hundred twenty-four".