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34813314 = 2341712641
BaseRepresentation
bin1000010011001…
…1010110000010
32102111200220000
42010303112002
532403011224
63242100430
7601623354
oct204632602
972450800
1034813314
1118718838
12b7aa716
13729bac3
1448a30d4
1530ca0c9
hex2133582

34813314 has 40 divisors (see below), whose sum is σ = 82602828. Its totient is φ = 10920960.

The previous prime is 34813313. The next prime is 34813319. The reversal of 34813314 is 41331843.

34813314 is a `hidden beast` number, since 348 + 1 + 3 + 314 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32867289 + 1946025 = 5733^2 + 1395^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34813313) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3567 + ... + 9074.

Almost surely, 234813314 is an apocalyptic number.

34813314 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

34813314 is an abundant number, since it is smaller than the sum of its proper divisors (47789514).

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

34813314 is a wasteful number, since it uses less digits than its factorization.

34813314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12672 (or 12663 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 34813314 is about 5900.2808407736. The cubic root of 34813314 is about 326.5240107824.

The spelling of 34813314 in words is "thirty-four million, eight hundred thirteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1377 2754 12641 25282 37923 75846 113769 214897 227538 341307 429794 644691 682614 1023921 1289382 1934073 2047842 3868146 5802219 11604438 17406657 34813314