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34430240 = 2551316553
BaseRepresentation
bin1000001101010…
…1110100100000
32101210020102002
42003111310200
532303231430
63225543132
7565436465
oct203256440
971706362
1034430240
1118486a49
12b644aa8
137196630
14480366c
153051845
hex20d5d20

34430240 has 48 divisors (see below), whose sum is σ = 87603768. Its totient is φ = 12711936.

The previous prime is 34430237. The next prime is 34430251. The reversal of 34430240 is 4203443.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 29986576 + 4443664 = 5476^2 + 2108^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6197 + ... + 10356.

Almost surely, 234430240 is an apocalyptic number.

It is an amenable number.

34430240 is an abundant number, since it is smaller than the sum of its proper divisors (53173528).

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

34430240 is a wasteful number, since it uses less digits than its factorization.

34430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16581 (or 16573 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 34430240 is about 5867.7286917512. The cubic root of 34430240 is about 325.3219374013.

Adding to 34430240 its reverse (4203443), we get a palindrome (38633683).

The spelling of 34430240 in words is "thirty-four million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 16553 33106 66212 82765 132424 165530 215189 264848 331060 430378 529696 662120 860756 1075945 1324240 1721512 2151890 2648480 3443024 4303780 6886048 8607560 17215120 34430240