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314113420 = 225176713789
BaseRepresentation
bin10010101110001…
…111110110001100
3210220001121121101
4102232033312030
51120403112140
651100312444
710532630365
oct2256176614
9726047541
10314113420
11151344075
1289242724
13500cca3a
142da08b6c
151c89a99a
hex12b8fd8c

314113420 has 48 divisors (see below), whose sum is σ = 708916320. Its totient is φ = 116481024.

The previous prime is 314113411. The next prime is 314113433. The reversal of 314113420 is 24311413.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15886 + ... + 29674.

It is an arithmetic number, because the mean of its divisors is an integer number (14769090).

Almost surely, 2314113420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314113420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354458160).

314113420 is an abundant number, since it is smaller than the sum of its proper divisors (394802900).

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

314113420 is a wasteful number, since it uses less digits than its factorization.

314113420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13882 (or 13880 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 314113420 is about 17723.2451881703. The cubic root of 314113420 is about 679.7702655314.

Adding to 314113420 its reverse (24311413), we get a palindrome (338424833).

It can be divided in two parts, 3141 and 13420, that added together give a palindrome (16561).

The spelling of 314113420 in words is "three hundred fourteen million, one hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 67 68 85 134 170 268 335 340 670 1139 1340 2278 4556 5695 11390 13789 22780 27578 55156 68945 137890 234413 275780 468826 923863 937652 1172065 1847726 2344130 3695452 4619315 4688260 9238630 15705671 18477260 31411342 62822684 78528355 157056710 314113420