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314442360 = 233252930119
BaseRepresentation
bin10010101111100…
…000001001111000
3210220200022211100
4102233200021320
51120444123420
651111331400
710535500401
oct2257401170
9726608740
10314442360
11151549221
1289380b60
13501b668b
142da929a8
151c913190
hex12be0278

314442360 has 96 divisors (see below), whose sum is σ = 1057212000. Its totient is φ = 80957184.

The previous prime is 314442347. The next prime is 314442377. The reversal of 314442360 is 63244413.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4620 + ... + 25499.

It is an arithmetic number, because the mean of its divisors is an integer number (11012625).

Almost surely, 2314442360 is an apocalyptic number.

314442360 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 314442360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528606000).

314442360 is an abundant number, since it is smaller than the sum of its proper divisors (742769640).

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

314442360 is a wasteful number, since it uses less digits than its factorization.

314442360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30165 (or 30158 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 314442360 is about 17732.5226631746. The cubic root of 314442360 is about 680.0074681994.

Adding to 314442360 its reverse (63244413), we get a palindrome (377686773).

The spelling of 314442360 in words is "three hundred fourteen million, four hundred forty-two thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 5220 10440 30119 60238 90357 120476 150595 180714 240952 271071 301190 361428 451785 542142 602380 722856 873451 903570 1084284 1204760 1355355 1746902 1807140 2168568 2620353 2710710 3493804 3614280 4367255 5240706 5421420 6987608 7861059 8734510 10481412 10842840 13101765 15722118 17469020 20962824 26203530 31444236 34938040 39305295 52407060 62888472 78610590 104814120 157221180 314442360