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413330412 = 2231129310687
BaseRepresentation
bin11000101000101…
…110101111101100
31001210202100201210
4120220232233230
51321303033122
6105003034420
713146151635
oct3050565754
91053670653
10413330412
111a2350290
12b650ba10
136782b011
143cc7488c
152644840c
hex18a2ebec

413330412 has 48 divisors (see below), whose sum is σ = 1055803392. Its totient is φ = 124812480.

The previous prime is 413330399. The next prime is 413330413. The reversal of 413330412 is 214033314.

It is not an unprimeable number, because it can be changed into a prime (413330413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33333 + ... + 44019.

It is an arithmetic number, because the mean of its divisors is an integer number (21995904).

Almost surely, 2413330412 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 413330412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527901696).

413330412 is an abundant number, since it is smaller than the sum of its proper divisors (642472980).

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

413330412 is a wasteful number, since it uses less digits than its factorization.

413330412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10998 (or 10996 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 413330412 is about 20330.5290634553. The cubic root of 413330412 is about 744.9019656898.

Adding to 413330412 its reverse (214033314), we get a palindrome (627363726).

The spelling of 413330412 in words is "four hundred thirteen million, three hundred thirty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 293 586 879 1172 1758 3223 3516 6446 9669 10687 12892 19338 21374 32061 38676 42748 64122 117557 128244 235114 352671 470228 705342 1410684 3131291 6262582 9393873 12525164 18787746 34444201 37575492 68888402 103332603 137776804 206665206 413330412