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397398240 = 253254153127
BaseRepresentation
bin10111101011111…
…101000011100000
31000200202220220100
4113223331003200
51303213220430
6103233342400
712563554311
oct2753750340
91020686810
10397398240
111943591a8
12b1107a00
13644402b5
143aac8608
1524d4c960
hex17afd0e0

397398240 has 288 divisors, whose sum is σ = 1426553856. Its totient is φ = 100638720.

The previous prime is 397398227. The next prime is 397398247. The reversal of 397398240 is 42893793.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3973982402 = 315850722310195200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397398247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3129057 + ... + 3129183.

It is an arithmetic number, because the mean of its divisors is an integer number (4953312).

Almost surely, 2397398240 is an apocalyptic number.

397398240 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 397398240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713276928).

397398240 is an abundant number, since it is smaller than the sum of its proper divisors (1029155616).

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

397398240 is a wasteful number, since it uses less digits than its factorization.

397398240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 397398240 is about 19934.8498865680. The cubic root of 397398240 is about 735.2053292784.

The spelling of 397398240 in words is "three hundred ninety-seven million, three hundred ninety-eight thousand, two hundred forty".