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314402490 = 23253493361
BaseRepresentation
bin10010101111010…
…110011010111010
3210220121022010200
4102233112122322
51120441334430
651110423030
710535243223
oct2257263272
9726538120
10314402490
11151521276
1289361a76
13501a149c
142da8224a
151c906460
hex12bd66ba

314402490 has 24 divisors (see below), whose sum is σ = 817446708. Its totient is φ = 83840640.

The previous prime is 314402467. The next prime is 314402497. The reversal of 314402490 is 94204413.

It can be written as a sum of positive squares in 2 ways, for example, as 306635121 + 7767369 = 17511^2 + 2787^2 .

It is not an unprimeable number, because it can be changed into a prime (314402497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1746591 + ... + 1746770.

Almost surely, 2314402490 is an apocalyptic number.

314402490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

314402490 is an abundant number, since it is smaller than the sum of its proper divisors (503044218).

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

314402490 is a wasteful number, since it uses less digits than its factorization.

314402490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493374 (or 3493371 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 314402490 is about 17731.3984220083. The cubic root of 314402490 is about 679.9787262664.

It can be divided in two parts, 31440 and 2490, that added together give a triangular number (33930 = T260).

The spelling of 314402490 in words is "three hundred fourteen million, four hundred two thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 3493361 6986722 10480083 17466805 20960166 31440249 34933610 52400415 62880498 104800830 157201245 314402490