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3112377264 = 243367293367
BaseRepresentation
bin1011100110000011…
…0001101110110000
322000220111010222000
42321200301232300
522333232033024
61232501014000
7140061525123
oct27140615660
98026433860
103112377264
111357946117
1272a3b4300
133a7a6c969
142174da3ba
15133390cc9
hexb9831bb0

3112377264 has 160 divisors (see below), whose sum is σ = 9122749440. Its totient is φ = 1015711488.

The previous prime is 3112377241. The next prime is 3112377269. The reversal of 3112377264 is 4627732113.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3112377269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8480409 + ... + 8480775.

It is an arithmetic number, because the mean of its divisors is an integer number (57017184).

Almost surely, 23112377264 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 3112377264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561374720).

3112377264 is an abundant number, since it is smaller than the sum of its proper divisors (6010372176).

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

3112377264 is a wasteful number, since it uses less digits than its factorization.

3112377264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 732 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 3112377264 is about 55788.6840138751. The cubic root of 3112377264 is about 1460.0377271792.

The spelling of 3112377264 in words is "three billion, one hundred twelve million, three hundred seventy-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 108 134 144 201 216 268 293 367 402 432 536 586 603 734 804 879 1072 1101 1172 1206 1468 1608 1758 1809 2202 2344 2412 2637 2936 3216 3303 3516 3618 4404 4688 4824 5274 5872 6606 7032 7236 7911 8808 9648 9909 10548 13212 14064 14472 15822 17616 19631 19818 21096 24589 26424 28944 31644 39262 39636 42192 49178 52848 58893 63288 73767 78524 79272 98356 107531 117786 126576 147534 157048 158544 176679 196712 215062 221301 235572 295068 314096 322593 353358 393424 430124 442602 471144 530037 590136 645186 663903 706716 860248 885204 942288 967779 1060074 1180272 1290372 1327806 1413432 1720496 1770408 1935558 2120148 2580744 2655612 2826864 2903337 3540816 3871116 4240296 5161488 5311224 5806674 7204577 7742232 8480592 10622448 11613348 14409154 15484464 21613731 23226696 28818308 43227462 46453392 57636616 64841193 86454924 115273232 129682386 172909848 194523579 259364772 345819696 389047158 518729544 778094316 1037459088 1556188632 3112377264