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3107393536 = 212132672
BaseRepresentation
bin1011100100110111…
…0001000000000000
322000120002221120111
42321031301000000
522330443043121
61232202121104
7140001260242
oct27115610000
98016087514
103107393536
111355051835
127287b0194
133a6a16400
142169a0092
15132c092e1
hexb9371000

3107393536 has 117 divisors (see below), whose sum is σ = 6830728821. Its totient is φ = 1412775936.

The previous prime is 3107393519. The next prime is 3107393543. The reversal of 3107393536 is 6353937013.

The square root of 3107393536 is 55744.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 459673600 + 2647719936 = 21440^2 + 51456^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46378975 + ... + 46379041.

Almost surely, 23107393536 is an apocalyptic number.

3107393536 is the 55744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3107393536

3107393536 is an abundant number, since it is smaller than the sum of its proper divisors (3723335285).

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

3107393536 is an frugal number, since it uses more digits than its factorization.

3107393536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 40.

The cubic root of 3107393536 is about 1459.2580104156.

It can be divided in two parts, 31073 and 93536, that added together give a square (124609 = 3532).

The spelling of 3107393536 in words is "three billion, one hundred seven million, three hundred ninety-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 67 104 128 134 169 208 256 268 338 416 512 536 676 832 871 1024 1072 1352 1664 1742 2048 2144 2704 3328 3484 4096 4288 4489 5408 6656 6968 8576 8978 10816 11323 13312 13936 17152 17956 21632 22646 26624 27872 34304 35912 43264 45292 53248 55744 58357 68608 71824 86528 90584 111488 116714 137216 143648 173056 181168 222976 233428 274432 287296 346112 362336 445952 466856 574592 692224 724672 758641 891904 933712 1149184 1449344 1517282 1783808 1867424 2298368 2898688 3034564 3567616 3734848 4596736 5797376 6069128 7469696 9193472 11594752 12138256 14939392 18386944 23189504 24276512 29878784 46379008 48553024 59757568 97106048 119515136 194212096 239030272 388424192 776848384 1553696768 3107393536