Search a number
-
+
3392054316 = 2232779716889
BaseRepresentation
bin1100101000101110…
…1010010000101100
322202101202012202100
43022023222100230
523421331214231
61320331255100
7150025662120
oct31213522054
98671665670
103392054316
1114907a9682
127a7baa490
134209a3341
142426dd580
1514cbd81e6
hexca2ea42c

3392054316 has 72 divisors (see below), whose sum is σ = 9812144160. Its totient is φ = 967885056.

The previous prime is 3392054299. The next prime is 3392054321. The reversal of 3392054316 is 6134502933.

It is a happy number.

3392054316 is a `hidden beast` number, since 339 + 2 + 0 + 5 + 4 + 316 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192400 + ... + 209288.

It is an arithmetic number, because the mean of its divisors is an integer number (136279780).

Almost surely, 23392054316 is an apocalyptic number.

3392054316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3392054316 is an abundant number, since it is smaller than the sum of its proper divisors (6420089844).

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

3392054316 is a wasteful number, since it uses less digits than its factorization.

3392054316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17703 (or 17698 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 3392054316 is about 58241.3454171519. The cubic root of 3392054316 is about 1502.5223215520.

The spelling of 3392054316 in words is "three billion, three hundred ninety-two million, fifty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 797 1594 2391 3188 4782 5579 7173 9564 11158 14346 16737 16889 22316 28692 33474 33778 50211 50667 66948 67556 100422 101334 118223 152001 200844 202668 236446 304002 354669 472892 608004 709338 1064007 1418676 2128014 4256028 13460533 26921066 40381599 53842132 80763198 94223731 121144797 161526396 188447462 242289594 282671193 376894924 484579188 565342386 848013579 1130684772 1696027158 3392054316