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342993112 = 237112343563
BaseRepresentation
bin10100011100011…
…010100011011000
3212220101212002121
4110130122203120
51200301234422
654011311024
711333251630
oct2434324330
9786355077
10342993112
11166679890
1296a4b474
13560a1b07
14337a56c0
15201a28c7
hex1471a8d8

342993112 has 128 divisors (see below), whose sum is σ = 857640960. Its totient is φ = 124629120.

The previous prime is 342993107. The next prime is 342993113. The reversal of 342993112 is 211399243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342993113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 608943 + ... + 609505.

It is an arithmetic number, because the mean of its divisors is an integer number (6700320).

Almost surely, 2342993112 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 342993112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428820480).

342993112 is an abundant number, since it is smaller than the sum of its proper divisors (514647848).

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

342993112 is a wasteful number, since it uses less digits than its factorization.

342993112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 649 counting only the distinct ones).

The product of its digits is 11664, while the sum is 34.

The square root of 342993112 is about 18520.0732179978. The cubic root of 342993112 is about 699.9953142543.

The spelling of 342993112 in words is "three hundred forty-two million, nine hundred ninety-three thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 23 28 43 44 46 56 77 86 88 92 154 161 172 184 253 301 308 322 344 473 506 563 602 616 644 946 989 1012 1126 1204 1288 1771 1892 1978 2024 2252 2408 3311 3542 3784 3941 3956 4504 6193 6622 6923 7084 7882 7912 10879 12386 12949 13244 13846 14168 15764 21758 24209 24772 25898 26488 27692 31528 43351 43516 48418 49544 51796 55384 76153 86702 87032 90643 96836 103592 142439 152306 169463 173404 181286 193672 266299 284878 304612 338926 346808 362572 532598 556807 569756 609224 677852 725144 997073 1065196 1113614 1139512 1355704 1864093 1994146 2130392 2227228 3728186 3897649 3988292 4454456 6124877 7456372 7795298 7976584 12249754 14912744 15590596 24499508 31181192 42874139 48999016 85748278 171496556 342993112