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314132420 = 22572243803
BaseRepresentation
bin10010101110010…
…100011111000100
3210220002120200002
4102232110133010
51120404214140
651100540432
710533036650
oct2256243704
9726076602
10314132420
11151357378
1289251718
1350108594
142da11a60
151c8a1415
hex12b947c4

314132420 has 24 divisors (see below), whose sum is σ = 753918144. Its totient is φ = 107702496.

The previous prime is 314132417. The next prime is 314132449. The reversal of 314132420 is 24231413.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 314132392 and 314132401.

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, 1121762 + ... + 1122041.

It is an arithmetic number, because the mean of its divisors is an integer number (31413256).

Almost surely, 2314132420 is an apocalyptic number.

It is an amenable number.

314132420 is an abundant number, since it is smaller than the sum of its proper divisors (439785724).

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

314132420 is a wasteful number, since it uses less digits than its factorization.

314132420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243819 (or 2243817 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 314132420 is about 17723.7811992814. The cubic root of 314132420 is about 679.7839711696.

Adding to 314132420 its reverse (24231413), we get a palindrome (338363833).

It can be divided in two parts, 31413 and 2420, that added together give a palindrome (33833).

The spelling of 314132420 in words is "three hundred fourteen million, one hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 2243803 4487606 8975212 11219015 15706621 22438030 31413242 44876060 62826484 78533105 157066210 314132420