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313202034 = 232413971069
BaseRepresentation
bin10010101010110…
…001010101110010
3210211100022102100
4102222301111302
51120134431114
651025001230
710522113315
oct2252612562
9724308370
10313202034
11150881362
1288a83216
134cb70c62
142d84c97c
151c76a909
hex12ab1572

313202034 has 48 divisors (see below), whose sum is σ = 697558680. Its totient is φ = 101502720.

The previous prime is 313202009. The next prime is 313202041. The reversal of 313202034 is 430202313.

It can be written as a sum of positive squares in 4 ways, for example, as 212139225 + 101062809 = 14565^2 + 10053^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 313201998 and 313202016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292452 + ... + 293520.

Almost surely, 2313202034 is an apocalyptic number.

313202034 is an abundant number, since it is smaller than the sum of its proper divisors (384356646).

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

313202034 is a wasteful number, since it uses less digits than its factorization.

313202034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 313202034 is about 17697.5149102918. The cubic root of 313202034 is about 679.1121876802.

Adding to 313202034 its reverse (430202313), we get a palindrome (743404347).

The spelling of 313202034 in words is "three hundred thirteen million, two hundred two thousand, thirty-four".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 397 738 794 1069 1191 2138 2382 3207 3573 6414 7146 9621 16277 19242 32554 43829 48831 87658 97662 131487 146493 262974 292986 394461 424393 788922 848786 1273179 2546358 3819537 7639074 17400113 34800226 52200339 104400678 156601017 313202034