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314455140 = 223251746973
BaseRepresentation
bin10010101111100…
…011010001100100
3210220200222100200
4102233203101210
51121000031030
651111510500
710535552556
oct2257432144
9726628320
10314455140
1115155788a
1289388430
13501bc43c
142da974d6
151c916d60
hex12be3464

314455140 has 36 divisors (see below), whose sum is σ = 953847804. Its totient is φ = 83854656.

The previous prime is 314455139. The next prime is 314455153. The reversal of 314455140 is 41554413.

It is a happy number.

314455140 is a `hidden beast` number, since 3 + 144 + 5 + 514 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51236964 + 263218176 = 7158^2 + 16224^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 873307 + ... + 873666.

Almost surely, 2314455140 is an apocalyptic number.

314455140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314455140 is an abundant number, since it is smaller than the sum of its proper divisors (639392664).

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

314455140 is a wasteful number, since it uses less digits than its factorization.

314455140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746988 (or 1746983 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 314455140 is about 17732.8830143324. The cubic root of 314455140 is about 680.0166806750.

It can be divided in two parts, 31445 and 5140, that added together give a triangular number (36585 = T270).

The spelling of 314455140 in words is "three hundred fourteen million, four hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1746973 3493946 5240919 6987892 8734865 10481838 15722757 17469730 20963676 26204595 31445514 34939460 52409190 62891028 78613785 104818380 157227570 314455140