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3090762640 = 245761173523
BaseRepresentation
bin1011100000111001…
…0100101110010000
321222101211000021101
42320032110232100
522312213401030
61230405434144
7136410022540
oct27016245620
97871730241
103090762640
111346722799
1272310b954
133a3442644
142146b1320
151315217ca
hexb8394b90

3090762640 has 160 divisors (see below), whose sum is σ = 8411533056. Its totient is φ = 1034311680.

The previous prime is 3090762637. The next prime is 3090762641. The reversal of 3090762640 is 462670903.

It is a self number, because there is not a number n which added to its sum of digits gives 3090762640.

It is not an unprimeable number, because it can be changed into a prime (3090762641) 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, 5909419 + ... + 5909941.

Almost surely, 23090762640 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 3090762640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4205766528).

3090762640 is an abundant number, since it is smaller than the sum of its proper divisors (5320770416).

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

3090762640 is a wasteful number, since it uses less digits than its factorization.

3090762640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 3090762640 is about 55594.6277980166. The cubic root of 3090762640 is about 1456.6500161881.

The spelling of 3090762640 in words is "three billion, ninety million, seven hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 61 70 80 112 122 140 173 244 280 305 346 427 488 523 560 610 692 854 865 976 1046 1211 1220 1384 1708 1730 2092 2135 2422 2440 2615 2768 3416 3460 3661 4184 4270 4844 4880 5230 6055 6832 6920 7322 8368 8540 9688 10460 10553 12110 13840 14644 17080 18305 19376 20920 21106 24220 29288 31903 34160 36610 41840 42212 48440 52765 58576 63806 73220 73871 84424 90479 96880 105530 127612 146440 147742 159515 168848 180958 211060 223321 255224 292880 295484 319030 361916 369355 422120 446642 452395 510448 590968 633353 638060 723832 738710 844240 893284 904790 1116605 1181936 1266706 1276120 1447664 1477420 1786568 1809580 2233210 2533412 2552240 2954840 3166765 3573136 3619160 4466420 5066824 5519219 5909680 6333530 7238320 8932840 10133648 11038438 12667060 17865680 22076876 25334120 27596095 38634533 44153752 50668240 55192190 77269066 88307504 110384380 154538132 193172665 220768760 309076264 386345330 441537520 618152528 772690660 1545381320 3090762640