Search a number
-
+
2934961824 = 253281108799
BaseRepresentation
bin1010111011101111…
…1111011010100000
321120112122111201210
42232323333122200
522002322234244
61203122230120
7132505523004
oct25673773240
97515574653
102934961824
111276789293
1269aab5340
1337a092302
141dbb16704
151229e84b9
hexaeeff6a0

2934961824 has 48 divisors (see below), whose sum is σ = 7731763200. Its totient is φ = 974830080.

The previous prime is 2934961819. The next prime is 2934961873. The reversal of 2934961824 is 4281694392.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×29349618242 = 17228001816674813952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27424 + ... + 81375.

It is an arithmetic number, because the mean of its divisors is an integer number (161078400).

Almost surely, 22934961824 is an apocalyptic number.

2934961824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2934961824 is an abundant number, since it is smaller than the sum of its proper divisors (4796801376).

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

2934961824 is a wasteful number, since it uses less digits than its factorization.

2934961824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109093 (or 109085 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 2934961824 is about 54175.2879457045. The cubic root of 2934961824 is about 1431.7509684193.

The spelling of 2934961824 in words is "two billion, nine hundred thirty-four million, nine hundred sixty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 281 562 843 1124 1686 2248 3372 4496 6744 8992 13488 26976 108799 217598 326397 435196 652794 870392 1305588 1740784 2611176 3481568 5222352 10444704 30572519 61145038 91717557 122290076 183435114 244580152 366870228 489160304 733740456 978320608 1467480912 2934961824