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342894024 = 233211563769
BaseRepresentation
bin10100011100000…
…010010111001000
3212220012211011200
4110130002113020
51200240102044
654005224200
711332360014
oct2434022710
9786184150
10342894024
111666113a0
1296a02060
1356068995
143377b544
1520183369
hex147025c8

342894024 has 96 divisors (see below), whose sum is σ = 1016215200. Its totient is φ = 103587840.

The previous prime is 342894001. The next prime is 342894073. The reversal of 342894024 is 420498243.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 342894024.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 445512 + ... + 446280.

It is an arithmetic number, because the mean of its divisors is an integer number (10585575).

Almost surely, 2342894024 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 342894024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508107600).

342894024 is an abundant number, since it is smaller than the sum of its proper divisors (673321176).

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

342894024 is a wasteful number, since it uses less digits than its factorization.

342894024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 342894024 is about 18517.3978733514. The cubic root of 342894024 is about 699.9279000570.

The spelling of 342894024 in words is "three hundred forty-two million, eight hundred ninety-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 563 769 792 1126 1538 1689 2252 2307 3076 3378 4504 4614 5067 6152 6193 6756 6921 8459 9228 10134 12386 13512 13842 16918 18456 18579 20268 24772 25377 27684 33836 37158 40536 49544 50754 55368 55737 67672 74316 76131 101508 111474 148632 152262 203016 222948 304524 432947 445896 609048 865894 1298841 1731788 2597682 3463576 3896523 4762417 5195364 7793046 9524834 10390728 14287251 15586092 19049668 28574502 31172184 38099336 42861753 57149004 85723506 114298008 171447012 342894024