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34412011000 = 235397354763
BaseRepresentation
bin100000000011000111…
…011001110111111000
310021211020021021122221
4200003013121313320
51030433433323000
623450400453424
72325522160453
oct400307316770
9107736237587
1034412011000
1113659757214
12680461a274
1333254720b3
1419463ac49a
15d6613661a
hex8031d9df8

34412011000 has 64 divisors (see below), whose sum is σ = 81354480480. Its totient is φ = 13622860800.

The previous prime is 34412010989. The next prime is 34412011021. The reversal of 34412011000 is 11021443.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80382 + ... + 274381.

Almost surely, 234412011000 is an apocalyptic number.

It is an amenable number.

34412011000 is an abundant number, since it is smaller than the sum of its proper divisors (46942469480).

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

34412011000 is a wasteful number, since it uses less digits than its factorization.

34412011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354881 (or 354867 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 34412011000 its reverse (11021443), we get a palindrome (34423032443).

The spelling of 34412011000 in words is "thirty-four billion, four hundred twelve million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 125 194 200 250 388 485 500 776 970 1000 1940 2425 3880 4850 9700 12125 19400 24250 48500 97000 354763 709526 1419052 1773815 2838104 3547630 7095260 8869075 14190520 17738150 34412011 35476300 44345375 68824022 70952600 88690750 137648044 172060055 177381500 275296088 344120110 354763000 688240220 860300275 1376480440 1720600550 3441201100 4301501375 6882402200 8603002750 17206005500 34412011000