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2314416 = 243133709
BaseRepresentation
bin1000110101000010110000
311100120210010
420311002300
51043030131
6121334520
725446366
oct10650260
94316703
102314416
111340945
12937440
136305a0
14443636
1530ab46
hex2350b0

2314416 has 40 divisors (see below), whose sum is σ = 6440560. Its totient is φ = 711936.

The previous prime is 2314391. The next prime is 2314439. The reversal of 2314416 is 6144132.

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

It is a junction number, because it is equal to n+sod(n) for n = 2314392 and 2314401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1231 + ... + 2478.

It is an arithmetic number, because the mean of its divisors is an integer number (161014).

22314416 is an apocalyptic number.

2314416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2314416 is an abundant number, since it is smaller than the sum of its proper divisors (4126144).

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

2314416 is a wasteful number, since it uses less digits than its factorization.

2314416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3733 (or 3727 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 2314416 is about 1521.3204790576. The cubic root of 2314416 is about 132.2758236123.

Adding to 2314416 its reverse (6144132), we get a palindrome (8458548).

The spelling of 2314416 in words is "two million, three hundred fourteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 3709 7418 11127 14836 22254 29672 44508 48217 59344 89016 96434 144651 178032 192868 289302 385736 578604 771472 1157208 2314416