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3445497360 = 2432522920897
BaseRepresentation
bin1100110101011110…
…0001111000010000
322220010022101211100
43031113201320100
524024021403420
61325520544400
7151245146544
oct31527417020
98803271740
103445497360
111508991188
12801a82100
1342ba95946
14249851a24
15152743190
hexcd5e1e10

3445497360 has 120 divisors (see below), whose sum is σ = 11622213720. Its totient is φ = 914743296.

The previous prime is 3445497347. The next prime is 3445497383. The reversal of 3445497360 is 637945443.

3445497360 is a `hidden beast` number, since 3 + 44 + 549 + 7 + 3 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1191906576 + 2253590784 = 34524^2 + 47472^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 154432 + ... + 175328.

It is an arithmetic number, because the mean of its divisors is an integer number (96851781).

Almost surely, 23445497360 is an apocalyptic number.

3445497360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3445497360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5811106860).

3445497360 is an abundant number, since it is smaller than the sum of its proper divisors (8176716360).

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

3445497360 is a wasteful number, since it uses less digits than its factorization.

3445497360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21145 (or 21136 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 3445497360 is about 58698.3590912046. The cubic root of 3445497360 is about 1510.3721667919.

The spelling of 3445497360 in words is "three billion, four hundred forty-five million, four hundred ninety-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 229 240 360 458 687 720 916 1145 1374 1832 2061 2290 2748 3435 3664 4122 4580 5496 6870 8244 9160 10305 10992 13740 16488 18320 20610 20897 27480 32976 41220 41794 54960 62691 82440 83588 104485 125382 164880 167176 188073 208970 250764 313455 334352 376146 417940 501528 626910 752292 835880 940365 1003056 1253820 1504584 1671760 1880730 2507640 3009168 3761460 4785413 5015280 7522920 9570826 14356239 15045840 19141652 23927065 28712478 38283304 43068717 47854130 57424956 71781195 76566608 86137434 95708260 114849912 143562390 172274868 191416520 215343585 229699824 287124780 344549736 382833040 430687170 574249560 689099472 861374340 1148499120 1722748680 3445497360