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3113743408 = 24192599137
BaseRepresentation
bin1011100110010111…
…1111010000110000
322001000001112221221
42321211333100300
522334104242113
61232550154424
7140106245056
oct27145772060
98030045857
103113743408
111358699566
1272a952a14
133a812a729
142177741d6
1513356098d
hexb997f430

3113743408 has 60 divisors (see below), whose sum is σ = 6475735080. Its totient is φ = 1449773568.

The previous prime is 3113743397. The next prime is 3113743417. The reversal of 3113743408 is 8043473113.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336216 + ... + 345352.

It is an arithmetic number, because the mean of its divisors is an integer number (107928918).

Almost surely, 23113743408 is an apocalyptic number.

3113743408 is a gapful number since it is divisible by the number (38) 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 3113743408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237867540).

3113743408 is an abundant number, since it is smaller than the sum of its proper divisors (3361991672).

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

3113743408 is a wasteful number, since it uses less digits than its factorization.

3113743408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9242 (or 9217 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 3113743408 is about 55800.9265872889. The cubic root of 3113743408 is about 1460.2513184680.

The spelling of 3113743408 in words is "three billion, one hundred thirteen million, seven hundred forty-three thousand, four hundred eight".

Divisors: 1 2 4 8 16 19 38 59 76 118 152 236 304 361 472 722 944 1121 1444 2242 2888 4484 5776 8968 9137 17936 18274 21299 36548 42598 73096 85196 146192 170392 173603 340784 347206 539083 694412 1078166 1388824 2156332 2777648 3298457 4312664 6596914 8625328 10242577 13193828 20485154 26387656 40970308 52775312 81940616 163881232 194608963 389217926 778435852 1556871704 3113743408