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3105145464 = 2336113915259
BaseRepresentation
bin1011100100010100…
…1100001001111000
322000101212201210120
42321011030021320
522324404123324
61232042013240
7136643205141
oct27105141170
98011781716
103105145464
111353856823
12727aa7220
133a640a0a5
14216576ac8
15132913179
hexb914c278

3105145464 has 64 divisors (see below), whose sum is σ = 7947408000. Its totient is φ = 1010689920.

The previous prime is 3105145451. The next prime is 3105145493. The reversal of 3105145464 is 4645415013.

It is a congruent number.

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, 195867 + ... + 211125.

It is an arithmetic number, because the mean of its divisors is an integer number (124178250).

Almost surely, 23105145464 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 3105145464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973704000).

3105145464 is an abundant number, since it is smaller than the sum of its proper divisors (4842262536).

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

3105145464 is a wasteful number, since it uses less digits than its factorization.

3105145464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15468 (or 15464 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 3105145464 is about 55723.8321008166. The cubic root of 3105145464 is about 1458.9060210435.

The spelling of 3105145464 in words is "three billion, one hundred five million, one hundred forty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 61 122 139 183 244 278 366 417 488 556 732 834 1112 1464 1668 3336 8479 15259 16958 25437 30518 33916 45777 50874 61036 67832 91554 101748 122072 183108 203496 366216 930799 1861598 2121001 2792397 3723196 4242002 5584794 6363003 7446392 8484004 11169588 12726006 16968008 22339176 25452012 50904024 129381061 258762122 388143183 517524244 776286366 1035048488 1552572732 3105145464