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1349285100 = 2235220892153
BaseRepresentation
bin101000001101100…
…0111010011101100
310111000220210012020
41100123013103230
510230404110400
6341515510140
745302506542
oct12033072354
93430823166
101349285100
116326aa959
12317a58350
13186702b67
14cb2add92
157d6c82a0
hex506c74ec

1349285100 has 72 divisors (see below), whose sum is σ = 3907614480. Its totient is φ = 359470080.

The previous prime is 1349285099. The next prime is 1349285107. The reversal of 1349285100 is 15829431.

It is not an unprimeable number, because it can be changed into a prime (1349285107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625624 + ... + 627776.

Almost surely, 21349285100 is an apocalyptic number.

1349285100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1349285100 is an abundant number, since it is smaller than the sum of its proper divisors (2558329380).

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

1349285100 is a wasteful number, since it uses less digits than its factorization.

1349285100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4259 (or 4252 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1349285100 is about 36732.6162966920. The cubic root of 1349285100 is about 1105.0143252103.

The spelling of 1349285100 in words is "one billion, three hundred forty-nine million, two hundred eighty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2089 2153 4178 4306 6267 6459 8356 8612 10445 10765 12534 12918 20890 21530 25068 25836 31335 32295 41780 43060 52225 53825 62670 64590 104450 107650 125340 129180 156675 161475 208900 215300 313350 322950 626700 645900 4497617 8995234 13492851 17990468 22488085 26985702 44976170 53971404 67464255 89952340 112440425 134928510 224880850 269857020 337321275 449761700 674642550 1349285100