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3400870100 = 2252197172633
BaseRepresentation
bin1100101010110101…
…0010100011010100
322210000100002201212
43022231102203110
523431110320400
61321244240552
7150163630115
oct31255224324
98700302655
103400870100
111495780051
127aab40158
1342276bb94
1424395620c
1514d87a335
hexcab528d4

3400870100 has 36 divisors (see below), whose sum is σ = 7417392444. Its totient is φ = 1353434880.

The previous prime is 3400870093. The next prime is 3400870103. The reversal of 3400870100 is 10780043.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 114244 + 3400755856 = 338^2 + 58316^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400870103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66617 + ... + 106016.

It is an arithmetic number, because the mean of its divisors is an integer number (206038679).

Almost surely, 23400870100 is an apocalyptic number.

It is an amenable number.

3400870100 is an abundant number, since it is smaller than the sum of its proper divisors (4016522344).

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

3400870100 is a wasteful number, since it uses less digits than its factorization.

3400870100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172844 (or 172837 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 3400870100 is about 58316.9795171183. The cubic root of 3400870100 is about 1503.8228563104.

The spelling of 3400870100 in words is "three billion, four hundred million, eight hundred seventy thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 197 394 788 985 1970 3940 4925 9850 19700 172633 345266 690532 863165 1726330 3452660 4315825 8631650 17263300 34008701 68017402 136034804 170043505 340087010 680174020 850217525 1700435050 3400870100