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398334240 = 253351923211
BaseRepresentation
bin10111101111100…
…001100100100000
31000202112110212000
4113233201210200
51303433143430
6103305404000
712604533213
oct2757414440
91022473760
10398334240
11194938457
12b1499600
13646aa345
143ac8d77a
1524e84e60
hex17be1920

398334240 has 384 divisors, whose sum is σ = 1538611200. Its totient is φ = 95800320.

The previous prime is 398334187. The next prime is 398334247. The reversal of 398334240 is 42433893.

It is a happy number.

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 = 398334195 and 398334204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398334247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1887735 + ... + 1887945.

It is an arithmetic number, because the mean of its divisors is an integer number (4006800).

Almost surely, 2398334240 is an apocalyptic number.

398334240 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 398334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769305600).

398334240 is an abundant number, since it is smaller than the sum of its proper divisors (1140276960).

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

398334240 is a wasteful number, since it uses less digits than its factorization.

398334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 398334240 is about 19958.3125539210. The cubic root of 398334240 is about 735.7820912869.

The spelling of 398334240 in words is "three hundred ninety-eight million, three hundred thirty-four thousand, two hundred forty".