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404354142 = 232311514799
BaseRepresentation
bin11000000110011…
…111010001011110
31001011212022121100
4120012133101132
51312003313032
6104042413530
713006645023
oct3006372136
91034768540
10404354142
1119827a285
12b35012a6
1365a0740a
143b9b954a
152577397c
hex1819f45e

404354142 has 48 divisors (see below), whose sum is σ = 910540800. Its totient is φ = 129546000.

The previous prime is 404354141. The next prime is 404354147. The reversal of 404354142 is 241453404.

It is a happy number.

404354142 is a `hidden beast` number, since 40 + 43 + 541 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404354141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81859 + ... + 86657.

It is an arithmetic number, because the mean of its divisors is an integer number (18969600).

Almost surely, 2404354142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404354142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455270400).

404354142 is an abundant number, since it is smaller than the sum of its proper divisors (506186658).

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

404354142 is a wasteful number, since it uses less digits than its factorization.

404354142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4989 (or 4986 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 404354142 is about 20108.5589240005. The cubic root of 404354142 is about 739.4701234729.

It can be divided in two parts, 404354 and 142, that added together give a square (404496 = 6362).

The spelling of 404354142 in words is "four hundred four million, three hundred fifty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 151 186 279 302 453 558 906 1359 2718 4681 4799 9362 9598 14043 14397 28086 28794 42129 43191 84258 86382 148769 297538 446307 724649 892614 1338921 1449298 2173947 2677842 4347894 6521841 13043682 22464119 44928238 67392357 134784714 202177071 404354142