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34140980 = 22510915661
BaseRepresentation
bin1000001000111…
…1001100110100
32101020112121202
42002033030310
532220002410
63215432032
7563123246
oct202171464
971215552
1034140980
11182a9695
12b525618
1370c4a83
14476a096
152ee5ca5
hex208f334

34140980 has 24 divisors (see below), whose sum is σ = 72358440. Its totient is φ = 13530240.

The previous prime is 34140961. The next prime is 34140991. The reversal of 34140980 is 8904143.

It can be written as a sum of positive squares in 4 ways, for example, as 16467364 + 17673616 = 4058^2 + 4204^2 .

It is a congruent number.

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, 5651 + ... + 10010.

It is an arithmetic number, because the mean of its divisors is an integer number (3014935).

Almost surely, 234140980 is an apocalyptic number.

It is an amenable number.

34140980 is an abundant number, since it is smaller than the sum of its proper divisors (38217460).

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

34140980 is a wasteful number, since it uses less digits than its factorization.

34140980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15779 (or 15777 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 34140980 is about 5843.0283244222. The cubic root of 34140980 is about 324.4083278361.

The spelling of 34140980 in words is "thirty-four million, one hundred forty thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 109 218 436 545 1090 2180 15661 31322 62644 78305 156610 313220 1707049 3414098 6828196 8535245 17070490 34140980