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413016354 = 23347353461
BaseRepresentation
bin11000100111100…
…010000100100010
31001210011101221000
4120213202010202
51321213010404
6104552212430
713143403212
oct3047420442
91053141830
10413016354
111a2156333
12b639a116
136774b09a
143cbd2242
15263d5339
hex189e2122

413016354 has 64 divisors (see below), whose sum is σ = 942036480. Its totient is φ = 134069760.

The previous prime is 413016349. The next prime is 413016389. The reversal of 413016354 is 453610314.

413016354 is a `hidden beast` number, since 4 + 1 + 301 + 6 + 354 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 895684 + ... + 896144.

It is an arithmetic number, because the mean of its divisors is an integer number (14719320).

Almost surely, 2413016354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413016354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471018240).

413016354 is an abundant number, since it is smaller than the sum of its proper divisors (529020126).

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

413016354 is a wasteful number, since it uses less digits than its factorization.

413016354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 413016354 is about 20322.8037927841. The cubic root of 413016354 is about 744.7132533091.

Adding to 413016354 its reverse (453610314), we get a palindrome (866626668).

The spelling of 413016354 in words is "four hundred thirteen million, sixteen thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 353 423 461 706 846 922 1059 1269 1383 2118 2538 2766 3177 4149 6354 8298 9531 12447 16591 19062 21667 24894 33182 43334 49773 65001 99546 130002 149319 162733 195003 298638 325466 390006 447957 488199 585009 895914 976398 1170018 1464597 2929194 4393791 7648451 8787582 15296902 22945353 45890706 68836059 137672118 206508177 413016354