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1314268320 = 25352738059
BaseRepresentation
bin100111001010110…
…0010010010100000
310101121000202012110
41032111202102200
510142423041240
6334225155320
744366045031
oct11625422240
93347022173
101314268320
11614963272
1230818bb40
1317c392581
14c6796a88
157a5acc80
hex4e5624a0

1314268320 has 48 divisors (see below), whose sum is σ = 4139946720. Its totient is φ = 350471424.

The previous prime is 1314268303. The next prime is 1314268367. The reversal of 1314268320 is 238624131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1368550 + ... + 1369509.

It is an arithmetic number, because the mean of its divisors is an integer number (86248890).

Almost surely, 21314268320 is an apocalyptic number.

1314268320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314268320 is an abundant number, since it is smaller than the sum of its proper divisors (2825678400).

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

1314268320 is a wasteful number, since it uses less digits than its factorization.

1314268320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738077 (or 2738069 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1314268320 is about 36252.8387853972. The cubic root of 1314268320 is about 1095.3712716959.

The spelling of 1314268320 in words is "one billion, three hundred fourteen million, two hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2738059 5476118 8214177 10952236 13690295 16428354 21904472 27380590 32856708 41070885 43808944 54761180 65713416 82141770 87617888 109522360 131426832 164283540 219044720 262853664 328567080 438089440 657134160 1314268320