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314241400 = 235211142837
BaseRepresentation
bin10010101110101…
…111000101111000
3210220022010011101
4102232233011320
51120421211100
651103141144
710534002454
oct2256570570
9726263141
10314241400
11151421240
12892a47b4
1350146075
142da3d664
151c8c386a
hex12baf178

314241400 has 48 divisors (see below), whose sum is σ = 797036040. Its totient is φ = 114268800.

The previous prime is 314241397. The next prime is 314241409. The reversal of 314241400 is 4142413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314241409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69219 + ... + 73618.

Almost surely, 2314241400 is an apocalyptic number.

It is an amenable number.

314241400 is an abundant number, since it is smaller than the sum of its proper divisors (482794640).

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

314241400 is a wasteful number, since it uses less digits than its factorization.

314241400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142864 (or 142855 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 314241400 is about 17726.8553330815. The cubic root of 314241400 is about 679.8625731509.

Adding to 314241400 its reverse (4142413), we get a palindrome (318383813).

The spelling of 314241400 in words is "three hundred fourteen million, two hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 142837 285674 571348 714185 1142696 1428370 1571207 2856740 3142414 3570925 5713480 6284828 7141850 7856035 12569656 14283700 15712070 28567400 31424140 39280175 62848280 78560350 157120700 314241400