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2945431944 = 2333721321407
BaseRepresentation
bin1010111110001111…
…1011100110001000
321121021100110001000
42233203323212020
522013012310234
61204134455000
7132663521100
oct25743734610
97537313030
102945431944
11128168a684
126a2504460
1337c2b9b50
141dd280200
151238b5899
hexaf8fb988

2945431944 has 192 divisors, whose sum is σ = 10250150400. Its totient is φ = 776780928.

The previous prime is 2945431919. The next prime is 2945431963. The reversal of 2945431944 is 4491345492.

2945431944 is a `hidden beast` number, since 2 + 9 + 454 + 3 + 194 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2945431944.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126889 + ... + 148295.

It is an arithmetic number, because the mean of its divisors is an integer number (53386200).

Almost surely, 22945431944 is an apocalyptic number.

2945431944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2945431944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5125075200).

2945431944 is an abundant number, since it is smaller than the sum of its proper divisors (7304718456).

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

2945431944 is a wasteful number, since it uses less digits than its factorization.

2945431944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21449 (or 21432 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 2945431944 is about 54271.8337998634. The cubic root of 2945431944 is about 1433.4514804840.

The spelling of 2945431944 in words is "two billion, nine hundred forty-five million, four hundred thirty-one thousand, nine hundred forty-four".