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412320402 = 233132325537
BaseRepresentation
bin11000100100111…
…000001010010010
31001201212001021000
4120210320022102
51321023223102
6104525242430
713134444204
oct3044701222
91051761230
10412320402
111a182046a
12b6103416
1367566390
143ca90774
15262e901c
hex18938292

412320402 has 64 divisors (see below), whose sum is σ = 1029692160. Its totient is φ = 121347072.

The previous prime is 412320401. The next prime is 412320413. The reversal of 412320402 is 204023214.

It is a super-2 number, since 2×4123204022 = 340016227810883208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (412320401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3378 + ... + 28914.

It is an arithmetic number, because the mean of its divisors is an integer number (16088940).

Almost surely, 2412320402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412320402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514846080).

412320402 is an abundant number, since it is smaller than the sum of its proper divisors (617371758).

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

412320402 is a wasteful number, since it uses less digits than its factorization.

412320402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25584 (or 25578 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 412320402 is about 20305.6741331087. The cubic root of 412320402 is about 744.2947258447.

Adding to 412320402 its reverse (204023214), we get a palindrome (616343616).

The spelling of 412320402 in words is "four hundred twelve million, three hundred twenty thousand, four hundred two".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 117 138 207 234 299 351 414 598 621 702 897 1242 1794 2691 5382 8073 16146 25537 51074 76611 153222 229833 331981 459666 587351 663962 689499 995943 1174702 1378998 1762053 1991886 2987829 3524106 5286159 5975658 7635563 8963487 10572318 15271126 15858477 17926974 22906689 31716954 45813378 68720067 137440134 206160201 412320402