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34461320 = 2354121013
BaseRepresentation
bin1000001101110…
…1011010001000
32101211211001012
42003131122020
532310230240
63230343052
7565626215
oct203353210
971754035
1034461320
11184a8333
12b65aa88
1371a781a
144810b0c
15305ab65
hex20dd688

34461320 has 32 divisors (see below), whose sum is σ = 79432920. Its totient is φ = 13447680.

The previous prime is 34461311. The next prime is 34461347. The reversal of 34461320 is 2316443.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6180196 + 28281124 = 2486^2 + 5318^2 .

It is a super-2 number, since 2×344613202 = 2375165152284800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8867 + ... + 12146.

Almost surely, 234461320 is an apocalyptic number.

It is an amenable number.

34461320 is an abundant number, since it is smaller than the sum of its proper divisors (44971600).

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

34461320 is a wasteful number, since it uses less digits than its factorization.

34461320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21065 (or 21061 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 34461320 is about 5870.3764785574. The cubic root of 34461320 is about 325.4197967729.

Adding to 34461320 its reverse (2316443), we get a palindrome (36777763).

The spelling of 34461320 in words is "thirty-four million, four hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 21013 42026 84052 105065 168104 210130 420260 840520 861533 1723066 3446132 4307665 6892264 8615330 17230660 34461320