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2923923340 = 2251316368993
BaseRepresentation
bin1010111001000111…
…1000011110001100
321112202212200210001
42232101320132030
521442011021330
61202045454044
7132312636562
oct25621703614
97482780701
102923923340
111270529978
12697271324
133779c8b70
141da481a32
15121a679ca
hexae47878c

2923923340 has 48 divisors (see below), whose sum is σ = 6653229408. Its totient is φ = 1072963584.

The previous prime is 2923923337. The next prime is 2923923367. The reversal of 2923923340 is 433293292.

2923923340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×29239233403 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2923923340.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7884 + ... + 76876.

It is an arithmetic number, because the mean of its divisors is an integer number (138608946).

Almost surely, 22923923340 is an apocalyptic number.

2923923340 is a gapful number since it is divisible by the number (20) 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 2923923340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326614704).

2923923340 is an abundant number, since it is smaller than the sum of its proper divisors (3729306068).

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

2923923340 is a wasteful number, since it uses less digits than its factorization.

2923923340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69178 (or 69176 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 37.

The square root of 2923923340 is about 54073.3144906062. The cubic root of 2923923340 is about 1429.9537598949.

The spelling of 2923923340 in words is "two billion, nine hundred twenty-three million, nine hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 163 260 326 652 815 1630 2119 3260 4238 8476 10595 21190 42380 68993 137986 275972 344965 689930 896909 1379860 1793818 3587636 4484545 8969090 11245859 17938180 22491718 44983436 56229295 112458590 146196167 224917180 292392334 584784668 730980835 1461961670 2923923340