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397501344 = 2535173197
BaseRepresentation
bin10111101100010…
…110001110100000
31000200222011100000
4113230112032200
51303230020334
6103235500000
712564464022
oct2754261640
91020864300
10397501344
11194419709
12b1157600
13644781c6
143ab14012
1524d6d299
hex17b163a0

397501344 has 288 divisors, whose sum is σ = 1294465536. Its totient is φ = 119439360.

The previous prime is 397501333. The next prime is 397501427. The reversal of 397501344 is 443105793.

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

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 = 397501299 and 397501308.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4097904 + ... + 4098000.

It is an arithmetic number, because the mean of its divisors is an integer number (4494672).

Almost surely, 2397501344 is an apocalyptic number.

397501344 is a gapful number since it is divisible by the number (34) 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 397501344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647232768).

397501344 is an abundant number, since it is smaller than the sum of its proper divisors (896964192).

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

397501344 is a wasteful number, since it uses less digits than its factorization.

397501344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 397501344 is about 19937.4357428432. The cubic root of 397501344 is about 735.2689061877.

The spelling of 397501344 in words is "three hundred ninety-seven million, five hundred one thousand, three hundred forty-four".