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34333621540 = 2255353096101
BaseRepresentation
bin11111111110011100…
…010111110100100100
310021121202202200112121
4133332130113310210
51030303401342130
623434520355324
72323550652661
oct377634276444
9107552680477
1034333621540
1113619486039
1267a2315b44
133312156aba
141939c04a68
15d5e2eed7a
hex7fe717d24

34333621540 has 48 divisors (see below), whose sum is σ = 73486874160. Its totient is φ = 13469580800.

The previous prime is 34333621513. The next prime is 34333621561. The reversal of 34333621540 is 4512633343.

It can be written as a sum of positive squares in 8 ways, for example, as 2155002084 + 32178619456 = 46422^2 + 179384^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34333621496 and 34333621505.

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, 5624490 + ... + 5630590.

It is an arithmetic number, because the mean of its divisors is an integer number (1530976545).

Almost surely, 234333621540 is an apocalyptic number.

It is an amenable number.

34333621540 is an abundant number, since it is smaller than the sum of its proper divisors (39153252620).

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

34333621540 is a wasteful number, since it uses less digits than its factorization.

34333621540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11472 (or 11470 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 34.

The spelling of 34333621540 in words is "thirty-four billion, three hundred thirty-three million, six hundred twenty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 5309 6101 10618 12202 21236 24404 26545 30505 53090 61010 106180 122020 281377 323353 562754 646706 1125508 1293412 1406885 1616765 2813770 3233530 5627540 6467060 32390209 64780418 129560836 161951045 323902090 647804180 1716681077 3433362154 6866724308 8583405385 17166810770 34333621540