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314402340 = 223572983311
BaseRepresentation
bin10010101111010…
…110011000100100
3210220121021221010
4102233112120210
51120441333330
651110422220
710535242620
oct2257263044
9726537833
10314402340
1115152114a
1289361970
13501a13b5
142da82180
151c9063b0
hex12bd6624

314402340 has 192 divisors, whose sum is σ = 1056706560. Its totient is φ = 68328960.

The previous prime is 314402339. The next prime is 314402353. The reversal of 314402340 is 43204413.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1010785 + ... + 1011095.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2314402340 is an apocalyptic number.

314402340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314402340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528353280).

314402340 is an abundant number, since it is smaller than the sum of its proper divisors (742304220).

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

314402340 is a wasteful number, since it uses less digits than its factorization.

314402340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 314402340 is about 17731.3941922230. The cubic root of 314402340 is about 679.9786181281.

Adding to 314402340 its reverse (43204413), we get a palindrome (357606753).

The spelling of 314402340 in words is "three hundred fourteen million, four hundred two thousand, three hundred forty".