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34513408 = 2967409
BaseRepresentation
bin1000001110101…
…0001000000000
32101221110111101
42003222020000
532313412113
63231424144
7566234116
oct203521000
971843441
1034513408
1118533486
12b685054
1371c5447
144825ab6
15306b2dd
hex20ea200

34513408 has 20 divisors (see below), whose sum is σ = 68960430. Its totient is φ = 17256448.

The previous prime is 34513403. The next prime is 34513429. The reversal of 34513408 is 80431543.

It can be written as a sum of positive squares in only one way, i.e., 27373824 + 7139584 = 5232^2 + 2672^2 .

It is a super-3 number, since 3×345134083 (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (34513403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33193 + ... + 34216.

Almost surely, 234513408 is an apocalyptic number.

It is an amenable number.

34513408 is a deficient number, since it is larger than the sum of its proper divisors (34447022).

34513408 is an frugal number, since it uses more digits than its factorization.

34513408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67427 (or 67411 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 34513408 is about 5874.8113161190. The cubic root of 34513408 is about 325.5836706792.

It can be divided in two parts, 3451 and 3408, that added together give a cube (6859 = 193).

The spelling of 34513408 in words is "thirty-four million, five hundred thirteen thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 67409 134818 269636 539272 1078544 2157088 4314176 8628352 17256704 34513408