Search a number
-
+
3740930208 = 2532313531187
BaseRepresentation
bin1101111011111010…
…0001000010100000
3100122201012221111200
43132332201002200
530130134231313
61415113041200
7161463245031
oct33676410240
910581187450
103740930208
11164a726264
128849b6200
13478054992
14276b96a88
1516d64db73
hexdefa10a0

3740930208 has 144 divisors (see below), whose sum is σ = 11021826816. Its totient is φ = 1202319360.

The previous prime is 3740930191. The next prime is 3740930261. The reversal of 3740930208 is 8020390473.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×37409302082 = 27989117642253846528, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3150991 + ... + 3152177.

It is an arithmetic number, because the mean of its divisors is an integer number (76540464).

Almost surely, 23740930208 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 3740930208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5510913408).

3740930208 is an abundant number, since it is smaller than the sum of its proper divisors (7280896608).

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

3740930208 is a wasteful number, since it uses less digits than its factorization.

3740930208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3740930208 is about 61163.1441964849. The cubic root of 3740930208 is about 1552.3627105992.

The spelling of 3740930208 in words is "three billion, seven hundred forty million, nine hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 353 372 496 558 706 744 992 1059 1116 1187 1412 1488 2118 2232 2374 2824 2976 3177 3561 4236 4464 4748 5648 6354 7122 8472 8928 9496 10683 10943 11296 12708 14244 16944 18992 21366 21886 25416 28488 32829 33888 36797 37984 42732 43772 50832 56976 65658 73594 85464 87544 98487 101664 110391 113952 131316 147188 170928 175088 196974 220782 262632 294376 331173 341856 350176 393948 419011 441564 525264 588752 662346 787896 838022 883128 1050528 1177504 1257033 1324692 1575792 1676044 1766256 2514066 2649384 3151584 3352088 3532512 3771099 5028132 5298768 6704176 7542198 10056264 10597536 12989341 13408352 15084396 20112528 25978682 30168792 38968023 40225056 51957364 60337584 77936046 103914728 116904069 120675168 155872092 207829456 233808138 311744184 415658912 467616276 623488368 935232552 1246976736 1870465104 3740930208