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413214354 = 232724311087
BaseRepresentation
bin11000101000010…
…010011010010010
31001210112110112100
4120220102122102
51321240324404
6105000341230
713145156400
oct3050223222
91053473470
10413214354
111a2281073
12b6474816
13677ba247
143cc44470
1526423d39
hex18a12692

413214354 has 72 divisors (see below), whose sum is σ = 1044845568. Its totient is φ = 117678960.

The previous prime is 413214353. The next prime is 413214377. The reversal of 413214354 is 453412314.

It is a happy number.

413214354 is a `hidden beast` number, since 413 + 214 + 35 + 4 = 666.

It is a super-2 number, since 2×4132143542 = 341492204703274632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (413214353) 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 35 ways as a sum of consecutive naturals, for example, 379599 + ... + 380685.

It is an arithmetic number, because the mean of its divisors is an integer number (14511744).

Almost surely, 2413214354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413214354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522422784).

413214354 is an abundant number, since it is smaller than the sum of its proper divisors (631631214).

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

413214354 is a wasteful number, since it uses less digits than its factorization.

413214354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1530 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 413214354 is about 20327.6745841722. The cubic root of 413214354 is about 744.8322394509.

Adding to 413214354 its reverse (453412314), we get a palindrome (866626668).

The spelling of 413214354 in words is "four hundred thirteen million, two hundred fourteen thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 431 441 862 882 1087 1293 2174 2586 3017 3261 3879 6034 6522 7609 7758 9051 9783 15218 18102 19566 21119 22827 27153 42238 45654 53263 54306 63357 68481 106526 126714 136962 159789 190071 319578 380142 468497 479367 936994 958734 1405491 2810982 3279479 4216473 6558958 8432946 9838437 19676874 22956353 29515311 45912706 59030622 68869059 137738118 206607177 413214354