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396071088 = 24373731859
BaseRepresentation
bin10111100110111…
…001000010110000
31000121021111101120
4113212321002300
51302343233323
6103145102240
712546356130
oct2746710260
91017244346
10396071088
11193632086
12b0787980
13640971ba
143a860ac0
1524b895e3
hex179b90b0

396071088 has 80 divisors (see below), whose sum is σ = 1200994560. Its totient is φ = 110101248.

The previous prime is 396071087. The next prime is 396071099. The reversal of 396071088 is 880170693.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (396071087) 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, 3498 + ... + 28361.

It is an arithmetic number, because the mean of its divisors is an integer number (15012432).

Almost surely, 2396071088 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 396071088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600497280).

396071088 is an abundant number, since it is smaller than the sum of its proper divisors (804923472).

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

396071088 is a wasteful number, since it uses less digits than its factorization.

396071088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31914 (or 31908 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 396071088 is about 19901.5348151845. The cubic root of 396071088 is about 734.3859854171.

The spelling of 396071088 in words is "three hundred ninety-six million, seventy-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 518 592 777 888 1036 1554 1776 2072 3108 4144 6216 12432 31859 63718 95577 127436 191154 223013 254872 382308 446026 509744 669039 764616 892052 1178783 1338078 1529232 1784104 2357566 2676156 3536349 3568208 4715132 5352312 7072698 8251481 9430264 10704624 14145396 16502962 18860528 24754443 28290792 33005924 49508886 56581584 66011848 99017772 132023696 198035544 396071088