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3102923424 = 253312574057
BaseRepresentation
bin1011100011110010…
…1101101010100000
322000020200211201210
42320330231222200
522323322022144
61231522230120
7136615261656
oct27074555240
98006624653
103102923424
111352579327
127271b5340
133a5b0c883
14216158dd6
15132624ab9
hexb8f2daa0

3102923424 has 96 divisors (see below), whose sum is σ = 8442717696. Its totient is φ = 996802560.

The previous prime is 3102923389. The next prime is 3102923429. The reversal of 3102923424 is 4243292013.

3102923424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3102923391 and 3102923400.

It is not an unprimeable number, because it can be changed into a prime (3102923429) 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, 762804 + ... + 766860.

It is an arithmetic number, because the mean of its divisors is an integer number (87944976).

Almost surely, 23102923424 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 3102923424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221358848).

3102923424 is an abundant number, since it is smaller than the sum of its proper divisors (5339794272).

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

3102923424 is a wasteful number, since it uses less digits than its factorization.

3102923424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4358 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3102923424 is about 55703.8905643044. The cubic root of 3102923424 is about 1458.5579406134.

The spelling of 3102923424 in words is "three billion, one hundred two million, nine hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 257 372 496 514 744 771 992 1028 1488 1542 2056 2976 3084 4057 4112 6168 7967 8114 8224 12171 12336 15934 16228 23901 24342 24672 31868 32456 47802 48684 63736 64912 95604 97368 125767 127472 129824 191208 194736 251534 254944 377301 382416 389472 503068 754602 764832 1006136 1042649 1509204 2012272 2085298 3018408 3127947 4024544 4170596 6036816 6255894 8341192 12073632 12511788 16682384 25023576 32322119 33364768 50047152 64644238 96966357 100094304 129288476 193932714 258576952 387865428 517153904 775730856 1034307808 1551461712 3102923424