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34033780980 = 22325189076561
BaseRepresentation
bin11111101100100100…
…100100100011110100
310020211212120012121200
4133230210210203310
51024200121442410
623345050012500
72313250236153
oct375444444364
9106755505550
1034033780980
1113485200421
126719a17130
133294cb3754
14190c07359a
15d42d233c0
hex7ec9248f4

34033780980 has 36 divisors (see below), whose sum is σ = 103235802852. Its totient is φ = 9075674880.

The previous prime is 34033780969. The next prime is 34033780981. The reversal of 34033780980 is 8908733043.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 22211133156 + 11822647824 = 149034^2 + 108732^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34033780981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94538101 + ... + 94538460.

Almost surely, 234033780980 is an apocalyptic number.

34033780980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34033780980 is an abundant number, since it is smaller than the sum of its proper divisors (69202021872).

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

34033780980 is a wasteful number, since it uses less digits than its factorization.

34033780980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189076576 (or 189076571 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 34033780980 in words is "thirty-four billion, thirty-three million, seven hundred eighty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 189076561 378153122 567229683 756306244 945382805 1134459366 1701689049 1890765610 2268918732 2836148415 3403378098 3781531220 5672296830 6806756196 8508445245 11344593660 17016890490 34033780980