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2273978304 = 263213303683
BaseRepresentation
bin1000011110001010…
…0010011111000000
312212110220001210200
42013202202133000
514124114301204
61013351125200
7110231332233
oct20742423700
95773801720
102273978304
11a67668614
12535673800
132a3163bc0
1417801741a
15d4981539
hex878a27c0

2273978304 has 84 divisors (see below), whose sum is σ = 7019351976. Its totient is φ = 699683328.

The previous prime is 2273978279. The next prime is 2273978339. The reversal of 2273978304 is 4038793722.

2273978304 is a `hidden beast` number, since 2 + 273 + 9 + 78 + 304 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2273978304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144354 + ... + 159329.

It is an arithmetic number, because the mean of its divisors is an integer number (83563714).

Almost surely, 22273978304 is an apocalyptic number.

2273978304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2273978304 is an abundant number, since it is smaller than the sum of its proper divisors (4745373672).

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

2273978304 is a wasteful number, since it uses less digits than its factorization.

2273978304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303714 (or 303701 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2273978304 is about 47686.2485838423. The cubic root of 2273978304 is about 1315.0091425678.

The spelling of 2273978304 in words is "two billion, two hundred seventy-three million, nine hundred seventy-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 303683 607366 911049 1214732 1822098 2429464 2733147 3644196 3947879 4858928 5466294 7288392 7895758 9717856 10932588 11843637 14576784 15791516 19435712 21865176 23687274 29153568 31583032 35530911 43730352 47374548 58307136 63166064 71061822 87460704 94749096 126332128 142123644 174921408 189498192 252664256 284247288 378996384 568494576 757992768 1136989152 2273978304