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3116460400 = 245217226959
BaseRepresentation
bin1011100111000001…
…0110100101110000
322001012011120222021
42321300112211300
522340303213100
61233124321224
7140141322244
oct27160264560
98035146867
103116460400
11135a184909
1272b843214
133a886c311
14217c80424
151338eaa1a
hexb9c16970

3116460400 has 90 divisors (see below), whose sum is σ = 7953927920. Its totient is φ = 1173212160.

The previous prime is 3116460377. The next prime is 3116460449. The reversal of 3116460400 is 40646113.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 102121 + ... + 129079.

Almost surely, 23116460400 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 3116460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976963960).

3116460400 is an abundant number, since it is smaller than the sum of its proper divisors (4837467520).

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

3116460400 is a wasteful number, since it uses less digits than its factorization.

3116460400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27011 (or 26983 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 3116460400 is about 55825.2666809573. The cubic root of 3116460400 is about 1460.6759239674.

The spelling of 3116460400 in words is "three billion, one hundred sixteen million, four hundred sixty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 289 340 400 425 578 680 850 1156 1360 1445 1700 2312 2890 3400 4624 5780 6800 7225 11560 14450 23120 26959 28900 53918 57800 107836 115600 134795 215672 269590 431344 458303 539180 673975 916606 1078360 1347950 1833212 2156720 2291515 2695900 3666424 4583030 5391800 7332848 7791151 9166060 10783600 11457575 15582302 18332120 22915150 31164604 36664240 38955755 45830300 62329208 77911510 91660600 124658416 155823020 183321200 194778775 311646040 389557550 623292080 779115100 1558230200 3116460400