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34004240120 = 2358310242241
BaseRepresentation
bin11111101010110011…
…111000011011111000
310020202210222101011202
4133222303320123320
51024120041140440
623342112513332
72312441162204
oct375263703370
9106683871152
1034004240120
111346a563994
12670bb4b848
13328bb3c756
141908183b04
15d4043a615
hex7eacf86f8

34004240120 has 32 divisors (see below), whose sum is σ = 77431349520. Its totient is φ = 13437818880.

The previous prime is 34004240117. The next prime is 34004240143. The reversal of 34004240120 is 2104240043.

It is a super-2 number, since 2×340042401202 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 34004240092 and 34004240101.

It is a congruent number.

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, 5117801 + ... + 5124440.

Almost surely, 234004240120 is an apocalyptic number.

It is an amenable number.

34004240120 is an abundant number, since it is smaller than the sum of its proper divisors (43427109400).

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

34004240120 is a wasteful number, since it uses less digits than its factorization.

34004240120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10242335 (or 10242331 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 34004240120 its reverse (2104240043), we get a palindrome (36108480163).

The spelling of 34004240120 in words is "thirty-four billion, four million, two hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 415 664 830 1660 3320 10242241 20484482 40968964 51211205 81937928 102422410 204844820 409689640 850106003 1700212006 3400424012 4250530015 6800848024 8501060030 17002120060 34004240120