Search a number
-
+
2338919046 = 232418293823
BaseRepresentation
bin1000101101101001…
…0001001010000110
320001000002101202100
42023122101022012
514242230402141
61024031052530
7111650324652
oct21332211206
96030071670
102338919046
11aa0293552
12553371146
132b3750989
141828bda62
15da50d0b6
hex8b691286

2338919046 has 48 divisors (see below), whose sum is σ = 5198880960. Its totient is φ = 759507840.

The previous prime is 2338919039. The next prime is 2338919047. The reversal of 2338919046 is 6409198332.

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 junction number, because it is equal to n+sod(n) for n = 2338918992 and 2338919010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2338919047) 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 23 ways as a sum of consecutive naturals, for example, 609891 + ... + 613713.

It is an arithmetic number, because the mean of its divisors is an integer number (108310020).

Almost surely, 22338919046 is an apocalyptic number.

2338919046 is an abundant number, since it is smaller than the sum of its proper divisors (2859961914).

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

2338919046 is a wasteful number, since it uses less digits than its factorization.

2338919046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4701 (or 4698 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2338919046 is about 48362.3722122892. The cubic root of 2338919046 is about 1327.4099339876.

The spelling of 2338919046 in words is "two billion, three hundred thirty-eight million, nine hundred nineteen thousand, forty-six".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 829 1658 2487 3823 4974 7461 7646 11469 14922 22938 33989 34407 67978 68814 101967 156743 203934 305901 313486 470229 611802 940458 1410687 2821374 3169267 6338534 9507801 19015602 28523403 57046806 129939947 259879894 389819841 779639682 1169459523 2338919046