[go: up one dir, main page]

Search a number
-
+
34630992 = 24321121863
BaseRepresentation
bin1000010000011…
…0110101010000
32102011102210100
42010012311100
532331142432
63234132400
7600233664
oct204066520
972142710
1034630992
1118603860
12b721100
137236b16
1448568a4
15309107c
hex2106d50

34630992 has 60 divisors (see below), whose sum is σ = 105734304. Its totient is φ = 10493760.

The previous prime is 34630991. The next prime is 34631059. The reversal of 34630992 is 29903643.

It is a happy number.

34630992 is a `hidden beast` number, since 346 + 309 + 9 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34630991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9348 + ... + 12515.

Almost surely, 234630992 is an apocalyptic number.

It is an amenable number.

34630992 is an abundant number, since it is smaller than the sum of its proper divisors (71103312).

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

34630992 is a wasteful number, since it uses less digits than its factorization.

34630992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21888 (or 21879 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 34630992 is about 5884.8102773157. The cubic root of 34630992 is about 325.9529960961.

The spelling of 34630992 in words is "thirty-four million, six hundred thirty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 21863 43726 65589 87452 131178 174904 196767 240493 262356 349808 393534 480986 524712 721479 787068 961972 1049424 1442958 1574136 1923944 2164437 2885916 3148272 3847888 4328874 5771832 8657748 11543664 17315496 34630992