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398346036 = 2231122511093
BaseRepresentation
bin10111101111100…
…100011100110100
31000202120002000220
4113233210130310
51303434033121
6103305534340
712604612464
oct2757443464
91022502026
10398346036
11194946300
12b14a43b0
13646b281a
143ac93ba4
1524e886c6
hex17be4734

398346036 has 72 divisors (see below), whose sum is σ = 1026662112. Its totient is φ = 120120000.

The previous prime is 398346031. The next prime is 398346049. The reversal of 398346036 is 630643893.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398346031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 363906 + ... + 364998.

It is an arithmetic number, because the mean of its divisors is an integer number (14259196).

Almost surely, 2398346036 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 398346036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513331056).

398346036 is an abundant number, since it is smaller than the sum of its proper divisors (628316076).

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

398346036 is a wasteful number, since it uses less digits than its factorization.

398346036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The square root of 398346036 is about 19958.6080676985. The cubic root of 398346036 is about 735.7893541991.

The spelling of 398346036 in words is "three hundred ninety-eight million, three hundred forty-six thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 251 363 484 502 726 753 1004 1093 1452 1506 2186 2761 3012 3279 4372 5522 6558 8283 11044 12023 13116 16566 24046 30371 33132 36069 48092 60742 72138 91113 121484 132253 144276 182226 264506 274343 364452 396759 529012 548686 793518 823029 1097372 1587036 1646058 3017773 3292116 6035546 9053319 12071092 18106638 33195503 36213276 66391006 99586509 132782012 199173018 398346036