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34852040700 = 22352707916411
BaseRepresentation
bin100000011101010101…
…111110111111111100
310022221220021002221020
4200131111332333330
51032334110300300
624002200104140
72342444313051
oct403525767774
9108856232836
1034852040700
1113865083024
126907a65050
13339568a8b9
1419889d3028
15d8eaa58a0
hex81d57effc

34852040700 has 72 divisors (see below), whose sum is σ = 100858961280. Its totient is φ = 9291998400.

The previous prime is 34852040683. The next prime is 34852040701. The reversal of 34852040700 is 704025843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34852040701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2115495 + ... + 2131905.

Almost surely, 234852040700 is an apocalyptic number.

34852040700 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34852040700 is an abundant number, since it is smaller than the sum of its proper divisors (66006920580).

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

34852040700 is a wasteful number, since it uses less digits than its factorization.

34852040700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23507 (or 23500 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 34852040700 in words is "thirty-four billion, eight hundred fifty-two million, forty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 7079 14158 16411 21237 28316 32822 35395 42474 49233 65644 70790 82055 84948 98466 106185 141580 164110 176975 196932 212370 246165 328220 353950 410275 424740 492330 530925 707900 820550 984660 1061850 1230825 1641100 2123700 2461650 4923300 116173469 232346938 348520407 464693876 580867345 697040814 1161734690 1394081628 1742602035 2323469380 2904336725 3485204070 5808673450 6970408140 8713010175 11617346900 17426020350 34852040700