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34513424 = 24111910321
BaseRepresentation
bin1000001110101…
…0001000010000
32101221110111222
42003222020100
532313412144
63231424212
7566234141
oct203521020
971843458
1034513424
11185334a0
12b685068
1371c545a
144825ac8
15306b2ee
hex20ea210

34513424 has 40 divisors (see below), whose sum is σ = 76795680. Its totient is φ = 14860800.

The previous prime is 34513403. The next prime is 34513429. The reversal of 34513424 is 42431543.

It is a super-3 number, since 3×345134243 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34513393 and 34513402.

It is not an unprimeable number, because it can be changed into a prime (34513429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1817 + ... + 8504.

It is an arithmetic number, because the mean of its divisors is an integer number (1919892).

Almost surely, 234513424 is an apocalyptic number.

It is an amenable number.

34513424 is an abundant number, since it is smaller than the sum of its proper divisors (42282256).

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

34513424 is a wasteful number, since it uses less digits than its factorization.

34513424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10359 (or 10353 counting only the distinct ones).

The product of its digits is 5760, while the sum is 26.

The square root of 34513424 is about 5874.8126778647. The cubic root of 34513424 is about 325.5837209915.

Adding to 34513424 its reverse (42431543), we get a palindrome (76944967).

The spelling of 34513424 in words is "thirty-four million, five hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 836 1672 3344 10321 20642 41284 82568 113531 165136 196099 227062 392198 454124 784396 908248 1568792 1816496 2157089 3137584 4314178 8628356 17256712 34513424