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3345516744 = 2331069130399
BaseRepresentation
bin1100011101101000…
…1000100011001000
322122011011212012120
43013122020203020
523322423013434
61311550011240
7145622265063
oct30732104310
98564155176
103345516744
111467503279
127944a6b20
1341415ac0b
1423a4678da
15148a94349
hexc76888c8

3345516744 has 32 divisors (see below), whose sum is σ = 8371680000. Its totient is φ = 1114120512.

The previous prime is 3345516743. The next prime is 3345516749. The reversal of 3345516744 is 4476155433.

It is a super-3 number, since 3×33455167443 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3345516696 and 3345516705.

It is not an unprimeable number, because it can be changed into a prime (3345516743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39544 + ... + 90855.

It is an arithmetic number, because the mean of its divisors is an integer number (261615000).

Almost surely, 23345516744 is an apocalyptic number.

It is an amenable number.

3345516744 is an abundant number, since it is smaller than the sum of its proper divisors (5026163256).

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

3345516744 is a wasteful number, since it uses less digits than its factorization.

3345516744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131477 (or 131473 counting only the distinct ones).

The product of its digits is 604800, while the sum is 42.

The square root of 3345516744 is about 57840.4421144929. The cubic root of 3345516744 is about 1495.6193291585.

The spelling of 3345516744 in words is "three billion, three hundred forty-five million, five hundred sixteen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 1069 2138 3207 4276 6414 8552 12828 25656 130399 260798 391197 521596 782394 1043192 1564788 3129576 139396531 278793062 418189593 557586124 836379186 1115172248 1672758372 3345516744