Search a number
-
+
216979434 = 23276072837
BaseRepresentation
bin11001110111011…
…01011111101010
3120010021200211100
430323231133222
5421021320214
633310342230
75243203050
oct1473553752
9503250740
10216979434
1110152a951
12607ba976
1335c508c9
1420b621d0
15140b0309
hexceed7ea

216979434 has 48 divisors (see below), whose sum is σ = 538357248. Its totient is φ = 61870176.

The previous prime is 216979409. The next prime is 216979453. The reversal of 216979434 is 434979612.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 216979434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75064 + ... + 77900.

It is an arithmetic number, because the mean of its divisors is an integer number (11215776).

Almost surely, 2216979434 is an apocalyptic number.

216979434 is an abundant number, since it is smaller than the sum of its proper divisors (321377814).

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

216979434 is a wasteful number, since it uses less digits than its factorization.

216979434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3459 (or 3456 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 216979434 is about 14730.2217905909. The cubic root of 216979434 is about 600.9055160470.

The spelling of 216979434 in words is "two hundred sixteen million, nine hundred seventy-nine thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 607 1214 1821 2837 3642 4249 5463 5674 8498 8511 10926 12747 17022 19859 25494 25533 38241 39718 51066 59577 76482 119154 178731 357462 1722059 3444118 5166177 10332354 12054413 15498531 24108826 30997062 36163239 72326478 108489717 216979434