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3387073968 = 2436535479
BaseRepresentation
bin1100100111100010…
…1010010110110000
322202001101012000000
43021320222112300
523414042331333
61320032430000
7146635440135
oct31170522660
98661335000
103387073968
111488a07893
127a63a8300
1341c94b4a5
14241ba458c
1514c552713
hexc9e2a5b0

3387073968 has 140 divisors (see below), whose sum is σ = 10026657360. Its totient is φ = 1107520128.

The previous prime is 3387073933. The next prime is 3387073973. The reversal of 3387073968 is 8693707833.

It is a super-2 number, since 2×33870739682 = 22944540129406530048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 615453 + ... + 620931.

Almost surely, 23387073968 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 3387073968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5013328680).

3387073968 is an abundant number, since it is smaller than the sum of its proper divisors (6639583392).

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

3387073968 is an equidigital number, since it uses as much as digits as its factorization.

3387073968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5558 (or 5537 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 3387073968 is about 58198.5735907677. The cubic root of 3387073968 is about 1501.7866071783.

The spelling of 3387073968 in words is "three billion, three hundred eighty-seven million, seventy-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 243 318 324 424 432 477 486 636 648 729 848 954 972 1272 1296 1431 1458 1908 1944 2544 2862 2916 3816 3888 4293 5479 5724 5832 7632 8586 10958 11448 11664 12879 16437 17172 21916 22896 25758 32874 34344 38637 43832 49311 51516 65748 68688 77274 87664 98622 103032 131496 147933 154548 197244 206064 262992 290387 295866 309096 394488 443799 580774 591732 618192 788976 871161 887598 1161548 1183464 1331397 1742322 1775196 2323096 2366928 2613483 2662794 3484644 3550392 3994191 4646192 5226966 5325588 6969288 7100784 7840449 7988382 10453932 10651176 13938576 15680898 15976764 20907864 21302352 23521347 31361796 31953528 41815728 47042694 62723592 63907056 70564041 94085388 125447184 141128082 188170776 211692123 282256164 376341552 423384246 564512328 846768492 1129024656 1693536984 3387073968