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2934923264 = 21371331127
BaseRepresentation
bin1010111011101111…
…0110000000000000
321120112120112211122
42232323312000000
522002320021024
61203121331412
7132505302410
oct25673660000
97515515748
102934923264
111276762319
1269aa96b68
1337a07a8b0
141dbb06640
151229dbd5e
hexaeef6000

2934923264 has 224 divisors, whose sum is σ = 7515734016. Its totient is φ = 1114767360.

The previous prime is 2934923263. The next prime is 2934923267. The reversal of 2934923264 is 4623294392.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×29349232642 = 17227549131136827392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2934923263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23109569 + ... + 23109695.

It is an arithmetic number, because the mean of its divisors is an integer number (33552384).

Almost surely, 22934923264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2934923264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757867008).

2934923264 is an abundant number, since it is smaller than the sum of its proper divisors (4580810752).

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

2934923264 is a wasteful number, since it uses less digits than its factorization.

2934923264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 180 counting only the distinct ones).

The product of its digits is 559872, while the sum is 44.

The square root of 2934923264 is about 54174.9320627170. The cubic root of 2934923264 is about 1431.7446982004.

The spelling of 2934923264 in words is "two billion, nine hundred thirty-four million, nine hundred twenty-three thousand, two hundred sixty-four".