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104348380900 = 2252323032
BaseRepresentation
bin110000100101110100…
…1011110111011100100
3100222100012212222110011
41201023221132323210
53202201141142100
6115534215540004
710352564413561
oct1411351367344
9328305788404
10104348380900
1140287a39025
121828208a604
139abc66b3aa
14509c77d868
152aaad78bba
hex184ba5eee4

104348380900 has 27 divisors (see below), whose sum is σ = 226442996521. Its totient is φ = 41738060240.

The previous prime is 104348380883. The next prime is 104348380909. The reversal of 104348380900 is 9083843401.

The square root of 104348380900 is 323030.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 37565417124 + 66782963776 = 193818^2 + 258424^2 .

It is a super-3 number, since 3×1043483809003 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104348380909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3214149 + ... + 3246451.

Almost surely, 2104348380900 is an apocalyptic number.

104348380900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104348380900 is the 323030-th square number.

It is an amenable number.

104348380900 is an abundant number, since it is smaller than the sum of its proper divisors (122094615621).

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

104348380900 is an frugal number, since it uses more digits than its factorization.

104348380900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64620 (or 32310 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 104348380900 in words is "one hundred four billion, three hundred forty-eight million, three hundred eighty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 32303 64606 129212 161515 323030 646060 807575 1615150 3230300 1043483809 2086967618 4173935236 5217419045 10434838090 20869676180 26087095225 52174190450 104348380900