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34402000120 = 23510910937219
BaseRepresentation
bin100000000010100001…
…001101110011111000
310021210112102200022121
4200002201031303320
51030423403000440
623445402131024
72325341114305
oct400241156370
9107715380277
1034402000120
1113654039964
1268011b0a74
1333233785b7
141944d240ac
15d6530a34a
hex80284dcf8

34402000120 has 64 divisors (see below), whose sum is σ = 78196932000. Its totient is φ = 13620192768.

The previous prime is 34402000117. The next prime is 34402000133. The reversal of 34402000120 is 2100020443.

It is a super-2 number, since 2×344020001202 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34402000094 and 34402000103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4761871 + ... + 4769089.

Almost surely, 234402000120 is an apocalyptic number.

It is an amenable number.

34402000120 is an abundant number, since it is smaller than the sum of its proper divisors (43794931880).

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

34402000120 is a wasteful number, since it uses less digits than its factorization.

34402000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8432 (or 8428 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 34402000120 its reverse (2100020443), we get a palindrome (36502020563).

The spelling of 34402000120 in words is "thirty-four billion, four hundred two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 109 218 436 545 872 1090 1093 2180 2186 4360 4372 5465 7219 8744 10930 14438 21860 28876 36095 43720 57752 72190 119137 144380 238274 288760 476548 595685 786871 953096 1191370 1573742 2382740 3147484 3934355 4765480 6294968 7868710 7890367 15737420 15780734 31474840 31561468 39451835 63122936 78903670 157807340 315614680 860050003 1720100006 3440200012 4300250015 6880400024 8600500030 17201000060 34402000120