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397229040 = 243251331372
BaseRepresentation
bin10111101011010…
…011101111110000
31000200110022210200
4113223103233300
51303142312130
6103225555200
712562251105
oct2753235760
91020408720
10397229040
1119425306a
12b1045b00
13643b1290
143aa82aac
1524d17760
hex17ad3bf0

397229040 has 360 divisors, whose sum is σ = 1524152448. Its totient is φ = 92067840.

The previous prime is 397229023. The next prime is 397229051. The reversal of 397229040 is 40922793.

397229040 is a `hidden beast` number, since 397 + 229 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 397228986 and 397229004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10735902 + ... + 10735938.

Almost surely, 2397229040 is an apocalyptic number.

397229040 is a gapful number since it is divisible by the number (30) 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 397229040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762076224).

397229040 is an abundant number, since it is smaller than the sum of its proper divisors (1126923408).

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

397229040 is a wasteful number, since it uses less digits than its factorization.

397229040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 397229040 is about 19930.6056104675. The cubic root of 397229040 is about 735.1009718286.

The spelling of 397229040 in words is "three hundred ninety-seven million, two hundred twenty-nine thousand, forty".