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1349190108 = 223472174999
BaseRepresentation
bin101000001101011…
…0000000111011100
310111000201221220000
41100122300013130
510230343040413
6341513454300
745301632600
oct12032600734
93430657800
101349190108
11632645552
12317a11390
1318669b856
14cb287500
157d6aa073
hex506b01dc

1349190108 has 180 divisors, whose sum is σ = 4345110000. Its totient is φ = 362734848.

The previous prime is 1349190103. The next prime is 1349190127. The reversal of 1349190108 is 8010919431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349190103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 267393 + ... + 272391.

It is an arithmetic number, because the mean of its divisors is an integer number (24139500).

Almost surely, 21349190108 is an apocalyptic number.

1349190108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1349190108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172555000).

1349190108 is an abundant number, since it is smaller than the sum of its proper divisors (2995919892).

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

1349190108 is a wasteful number, since it uses less digits than its factorization.

1349190108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1349190108 is about 36731.3232541383. The cubic root of 1349190108 is about 1104.9883929631.

The spelling of 1349190108 in words is "one billion, three hundred forty-nine million, one hundred ninety thousand, one hundred eight".