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314380990 = 25711237117
BaseRepresentation
bin10010101111010…
…001001010111110
3210220120012122101
4102233101022332
51120440142430
651110135314
710535123440
oct2257211276
9726505571
10314380990
11151507100
128935153a
1350194771
142da78490
151c8eedca
hex12bd12be

314380990 has 48 divisors (see below), whose sum is σ = 710883936. Its totient is φ = 97986240.

The previous prime is 314380933. The next prime is 314380999. The reversal of 314380990 is 99083413.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314380999) 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, 10089 + ... + 27028.

It is an arithmetic number, because the mean of its divisors is an integer number (14810082).

Almost surely, 2314380990 is an apocalyptic number.

314380990 is an abundant number, since it is smaller than the sum of its proper divisors (396502946).

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

314380990 is a wasteful number, since it uses less digits than its factorization.

314380990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37153 (or 37142 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 314380990 is about 17730.7921424848. The cubic root of 314380990 is about 679.9632260967.

The spelling of 314380990 in words is "three hundred fourteen million, three hundred eighty thousand, nine hundred ninety".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 121 154 242 385 605 770 847 1210 1694 4235 8470 37117 74234 185585 259819 371170 408287 519638 816574 1299095 2041435 2598190 2858009 4082870 4491157 5716018 8982314 14290045 22455785 28580090 31438099 44911570 62876198 157190495 314380990