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314228376 = 233372112699
BaseRepresentation
bin10010101110101…
…011111010011000
3210220021110022000
4102232223322120
51120420302001
651103001000
710533616500
oct2256537230
9726243260
10314228376
11151412480
1289299160
1350140167
142da38a00
151c8bea86
hex12babe98

314228376 has 192 divisors, whose sum is σ = 1108080000. Its totient is φ = 81587520.

The previous prime is 314228371. The next prime is 314228381. The reversal of 314228376 is 673822413.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (314228371) and next prime (314228381).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 314228376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314228371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115075 + ... + 117773.

It is an arithmetic number, because the mean of its divisors is an integer number (5771250).

Almost surely, 2314228376 is an apocalyptic number.

314228376 is a gapful number since it is divisible by the number (36) 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 314228376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554040000).

314228376 is an abundant number, since it is smaller than the sum of its proper divisors (793851624).

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

314228376 is a wasteful number, since it uses less digits than its factorization.

314228376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739 (or 2722 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 314228376 is about 17726.4879770359. The cubic root of 314228376 is about 679.8531805284.

The spelling of 314228376 in words is "three hundred fourteen million, two hundred twenty-eight thousand, three hundred seventy-six".