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398375296 = 2711319127
BaseRepresentation
bin10111101111101…
…011100110000000
31000202121120011121
4113233223212000
51303441002141
6103310322024
712605064004
oct2757534600
91022546147
10398375296
11194966290
12b14b9314
13646c2c37
143aca0704
1524e921d1
hex17beb980

398375296 has 64 divisors (see below), whose sum is σ = 893813760. Its totient is φ = 175219200.

The previous prime is 398375287. The next prime is 398375317. The reversal of 398375296 is 692573893.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39085 + ... + 48211.

It is an arithmetic number, because the mean of its divisors is an integer number (13965840).

Almost surely, 2398375296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398375296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446906880).

398375296 is an abundant number, since it is smaller than the sum of its proper divisors (495438464).

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

398375296 is a wasteful number, since it uses less digits than its factorization.

398375296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9183 (or 9171 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 52.

The square root of 398375296 is about 19959.3410712879. The cubic root of 398375296 is about 735.8073692475.

The spelling of 398375296 in words is "three hundred ninety-eight million, three hundred seventy-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 341 352 496 682 704 992 1364 1408 1984 2728 3968 5456 9127 10912 18254 21824 36508 43648 73016 100397 146032 200794 282937 292064 401588 565874 584128 803176 1131748 1168256 1606352 2263496 3112307 3212704 4526992 6224614 6425408 9053984 12449228 12850816 18107968 24898456 36215936 49796912 99593824 199187648 398375296