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398240640 = 27325721783
BaseRepresentation
bin10111101111001…
…010101110000000
31000202100201110100
4113233022232000
51303422200030
6103303402400
712603663300
oct2757125600
91022321410
10398240640
111948840a6
12b1453400
1364676865
143ac67600
1524e67360
hex17bcab80

398240640 has 576 divisors, whose sum is σ = 1714199760. Its totient is φ = 84639744.

The previous prime is 398240629. The next prime is 398240641. The reversal of 398240640 is 46042893.

It is a happy number.

398240640 is a `hidden beast` number, since 3 + 9 + 8 + 2 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 398240595 and 398240604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398240641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4798039 + ... + 4798121.

Almost surely, 2398240640 is an apocalyptic number.

398240640 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 398240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857099880).

398240640 is an abundant number, since it is smaller than the sum of its proper divisors (1315959120).

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

398240640 is a wasteful number, since it uses less digits than its factorization.

398240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 398240640 is about 19955.9675285364. The cubic root of 398240640 is about 735.7244557706.

The spelling of 398240640 in words is "three hundred ninety-eight million, two hundred forty thousand, six hundred forty".