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863372340 = 2232529165397
BaseRepresentation
bin110011011101100…
…000010000110100
32020011120212012100
4303131200100310
53232010403330
6221401022100
730252354345
oct6335402064
92204525170
10863372340
11403395466
12201184930
13109b40b0c
14829440cc
1550be4060
hex33760434

863372340 has 72 divisors (see below), whose sum is σ = 2709219240. Its totient is φ = 222292224.

The previous prime is 863372339. The next prime is 863372371. The reversal of 863372340 is 43273368.

It can be written as a sum of positive squares in 4 ways, for example, as 1127844 + 862244496 = 1062^2 + 29364^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 863372295 and 863372304.

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 23 ways as a sum of consecutive naturals, for example, 77479 + ... + 87918.

It is an arithmetic number, because the mean of its divisors is an integer number (37628045).

Almost surely, 2863372340 is an apocalyptic number.

It is an amenable number.

863372340 is an abundant number, since it is smaller than the sum of its proper divisors (1845846900).

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

863372340 is a wasteful number, since it uses less digits than its factorization.

863372340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165441 (or 165436 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 863372340 is about 29383.1982602303. The cubic root of 863372340 is about 952.2099391647.

The spelling of 863372340 in words is "eight hundred sixty-three million, three hundred seventy-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 165397 330794 496191 661588 826985 992382 1488573 1653970 1984764 2480955 2977146 3307940 4796513 4961910 5954292 7442865 9593026 9923820 14389539 14885730 19186052 23982565 28779078 29771460 43168617 47965130 57558156 71947695 86337234 95930260 143895390 172674468 215843085 287790780 431686170 863372340