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314133420 = 22358363079
BaseRepresentation
bin10010101110010…
…100101110101100
3210220002122001010
4102232110232230
51120404232140
651100545220
710533042606
oct2256245654
9726078033
10314133420
111513580a7
1289252210
1350108b83
142da12176
151c8a1880
hex12b94bac

314133420 has 48 divisors (see below), whose sum is σ = 890184960. Its totient is φ = 82758336.

The previous prime is 314133409. The next prime is 314133427. The reversal of 314133420 is 24331413.

It is not an unprimeable number, because it can be changed into a prime (314133427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26560 + ... + 36519.

It is an arithmetic number, because the mean of its divisors is an integer number (18545520).

Almost surely, 2314133420 is an apocalyptic number.

314133420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314133420 is an abundant number, since it is smaller than the sum of its proper divisors (576051540).

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

314133420 is a wasteful number, since it uses less digits than its factorization.

314133420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63174 (or 63172 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 314133420 is about 17723.8094099435. The cubic root of 314133420 is about 679.7846925036.

Adding to 314133420 its reverse (24331413), we get a palindrome (338464833).

The spelling of 314133420 in words is "three hundred fourteen million, one hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4980 63079 126158 189237 252316 315395 378474 630790 756948 946185 1261580 1892370 3784740 5235557 10471114 15706671 20942228 26177785 31413342 52355570 62826684 78533355 104711140 157066710 314133420