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145668384 = 25322321991
BaseRepresentation
bin10001010111010…
…11100100100000
3101011002201110100
420223223210200
5244242342014
622242102400
73416106111
oct1053534440
9334081410
10145668384
11752538a4
124094aa00
1324243414
14154bc208
15cbc6009
hex8aeb920

145668384 has 72 divisors (see below), whose sum is σ = 432274752. Its totient is φ = 46442880.

The previous prime is 145668379. The next prime is 145668389. The reversal of 145668384 is 483866541.

145668384 is a `hidden beast` number, since 1 + 4 + 566 + 8 + 3 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (145668379) and next prime (145668389).

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (145668389) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4372 + ... + 17619.

It is an arithmetic number, because the mean of its divisors is an integer number (6003816).

Almost surely, 2145668384 is an apocalyptic number.

It is an amenable number.

145668384 is an abundant number, since it is smaller than the sum of its proper divisors (286606368).

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

145668384 is a wasteful number, since it uses less digits than its factorization.

145668384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22030 (or 22019 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 145668384 is about 12069.3158049659. The cubic root of 145668384 is about 526.1647717345.

The spelling of 145668384 in words is "one hundred forty-five million, six hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 21991 43982 65973 87964 131946 175928 197919 263892 351856 395838 505793 527784 703712 791676 1011586 1055568 1517379 1583352 2023172 2111136 3034758 3166704 4046344 4552137 6069516 6333408 8092688 9104274 12139032 16185376 18208548 24278064 36417096 48556128 72834192 145668384