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398328876 = 2232117191399
BaseRepresentation
bin10111101111100…
…000010000101100
31000202112012111100
4113233200100230
51303433011001
6103305323100
712604511451
oct2757402054
91022465440
10398328876
11194934420
12b1496490
13646a7a7a
143ac8b828
1524e83586
hex17be042c

398328876 has 72 divisors (see below), whose sum is σ = 1100736000. Its totient is φ = 120451680.

The previous prime is 398328871. The next prime is 398328893. The reversal of 398328876 is 678823893.

It is not an unprimeable number, because it can be changed into a prime (398328871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284025 + ... + 285423.

It is an arithmetic number, because the mean of its divisors is an integer number (15288000).

Almost surely, 2398328876 is an apocalyptic number.

398328876 is a gapful number since it is divisible by the number (36) 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 398328876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368000).

398328876 is an abundant number, since it is smaller than the sum of its proper divisors (702407124).

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

398328876 is a wasteful number, since it uses less digits than its factorization.

398328876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2134 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 398328876 is about 19958.1781733704. The cubic root of 398328876 is about 735.7787885723.

The spelling of 398328876 in words is "three hundred ninety-eight million, three hundred twenty-eight thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 719 1399 1438 2157 2798 2876 4197 4314 5596 6471 7909 8394 8628 12591 12942 15389 15818 16788 23727 25182 25884 30778 31636 46167 47454 50364 61556 71181 92334 94908 138501 142362 184668 277002 284724 554004 1005881 2011762 3017643 4023524 6035286 9052929 11064691 12070572 18105858 22129382 33194073 36211716 44258764 66388146 99582219 132776292 199164438 398328876