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313838434 = 272131811361
BaseRepresentation
bin10010101101001…
…100101101100010
3210212112122101201
4102231030231202
51120320312214
651050351414
710530403600
oct2255145542
9725478351
10313838434
11151176508
128912b56a
1350034820
142d976870
151c844274
hex12b4cb62

313838434 has 48 divisors (see below), whose sum is σ = 593434296. Its totient is φ = 123379200.

The previous prime is 313838419. The next prime is 313838443. The reversal of 313838434 is 434838313.

It can be written as a sum of positive squares in 4 ways, for example, as 62457409 + 251381025 = 7903^2 + 15855^2 .

It is a junction number, because it is equal to n+sod(n) for n = 313838393 and 313838402.

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, 229914 + ... + 231274.

Almost surely, 2313838434 is an apocalyptic number.

313838434 is a deficient number, since it is larger than the sum of its proper divisors (279595862).

313838434 is a wasteful number, since it uses less digits than its factorization.

313838434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1564 counting only the distinct ones).

The product of its digits is 82944, while the sum is 37.

The square root of 313838434 is about 17715.4857116592. The cubic root of 313838434 is about 679.5718426386.

The spelling of 313838434 in words is "three hundred thirteen million, eight hundred thirty-eight thousand, four hundred thirty-four".

Divisors: 1 2 7 13 14 26 49 91 98 181 182 362 637 1267 1274 1361 2353 2534 2722 4706 8869 9527 16471 17693 17738 19054 32942 35386 66689 115297 123851 133378 230594 246341 247702 492682 866957 1724387 1733914 3202433 3448774 6404866 12070709 22417031 24141418 44834062 156919217 313838434