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2308311680 = 27517212161
BaseRepresentation
bin1000100110010110…
…0000101010000000
312221212111101100012
42021211200222000
514211411433210
61021015044052
7111126216443
oct21145405200
95855441305
102308311680
11a84a88804
12545070628
132aa2c53cc
1417c7d365a
15d79b4305
hex89960a80

2308311680 has 64 divisors (see below), whose sum is σ = 5842941480. Its totient is φ = 869007360.

The previous prime is 2308311667. The next prime is 2308311689. The reversal of 2308311680 is 861138032.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2298627136 + 9684544 = 47944^2 + 3112^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2308311689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95201 + ... + 116960.

Almost surely, 22308311680 is an apocalyptic number.

2308311680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2308311680 is an abundant number, since it is smaller than the sum of its proper divisors (3534629800).

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

2308311680 is a wasteful number, since it uses less digits than its factorization.

2308311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212197 (or 212185 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 2308311680 is about 48044.8923403935. The cubic root of 2308311680 is about 1321.5942781461.

The spelling of 2308311680 in words is "two billion, three hundred eight million, three hundred eleven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2720 5440 10880 212161 424322 848644 1060805 1697288 2121610 3394576 3606737 4243220 6789152 7213474 8486440 13578304 14426948 16972880 18033685 27156608 28853896 33945760 36067370 57707792 67891520 72134740 115415584 135783040 144269480 230831168 288538960 461662336 577077920 1154155840 2308311680