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314021240 = 235133731619
BaseRepresentation
bin10010101101111…
…001010101111000
3210212212221011022
4102231321111320
51120342134430
651054322012
710532064551
oct2255712570
9725787138
10314021240
11151290895
12891b9308
1350099ab0
142d9c3328
151c87d4e5
hex12b79578

314021240 has 64 divisors (see below), whose sum is σ = 763408800. Its totient is φ = 115564032.

The previous prime is 314021233. The next prime is 314021269. The reversal of 314021240 is 42120413.

It is a super-2 number, since 2×3140212402 = 197218678342275200, which contains 22 as substring.

It is a congruent number.

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, 193151 + ... + 194769.

Almost surely, 2314021240 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 314021240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381704400).

314021240 is an abundant number, since it is smaller than the sum of its proper divisors (449387560).

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

314021240 is a wasteful number, since it uses less digits than its factorization.

314021240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 314021240 is about 17720.6444578068. The cubic root of 314021240 is about 679.7037636994.

Adding to 314021240 its reverse (42120413), we get a palindrome (356141653).

The spelling of 314021240 in words is "three hundred fourteen million, twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 373 520 746 1492 1619 1865 2984 3238 3730 4849 6476 7460 8095 9698 12952 14920 16190 19396 21047 24245 32380 38792 42094 48490 64760 84188 96980 105235 168376 193960 210470 420940 603887 841880 1207774 2415548 3019435 4831096 6038870 7850531 12077740 15701062 24155480 31402124 39252655 62804248 78505310 157010620 314021240