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314498340 = 2232513134401
BaseRepresentation
bin10010101111101…
…101110100100100
3210220210011121200
4102233231310210
51121002421330
651112442500
710536122532
oct2257556444
9726704550
10314498340
11151587292
12893a9430
1350205cc0
142daa9152
151c924a60
hex12bedd24

314498340 has 72 divisors (see below), whose sum is σ = 1027368888. Its totient is φ = 77414400.

The previous prime is 314498333. The next prime is 314498341. The reversal of 314498340 is 43894413.

314498340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9437184 + 305061156 = 3072^2 + 17466^2 .

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 = 314498295 and 314498304.

It is not an unprimeable number, because it can be changed into a prime (314498341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64861 + ... + 69540.

Almost surely, 2314498340 is an apocalyptic number.

314498340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314498340 is an abundant number, since it is smaller than the sum of its proper divisors (712870548).

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

314498340 is a wasteful number, since it uses less digits than its factorization.

314498340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134429 (or 134424 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 314498340 is about 17734.1010485449. The cubic root of 314498340 is about 680.0478195898.

The spelling of 314498340 in words is "three hundred fourteen million, four hundred ninety-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 134401 268802 403203 537604 672005 806406 1209609 1344010 1612812 1747213 2016015 2419218 2688020 3494426 4032030 4838436 5241639 6048045 6988852 8064060 8736065 10483278 12096090 15724917 17472130 20966556 24192180 26208195 31449834 34944260 52416390 62899668 78624585 104832780 157249170 314498340