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1356644106 = 2331031491637
BaseRepresentation
bin101000011011100…
…1011111100001010
310111112202122212000
41100313023330022
510234300102411
6342341331430
745422166426
oct12067137412
93445678760
101356644106
11636876884
1231a406b76
131880ab5bc
14cc267b86
157e17d956
hex50dcbf0a

1356644106 has 64 divisors (see below), whose sum is σ = 3066336000. Its totient is φ = 444547008.

The previous prime is 1356644101. The next prime is 1356644111. The reversal of 1356644106 is 6014466531.

It is a happy number.

1356644106 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 644 + 1 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1356644101) and next prime (1356644111).

It is not an unprimeable number, because it can be changed into a prime (1356644101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 827920 + ... + 829556.

It is an arithmetic number, because the mean of its divisors is an integer number (47911500).

Almost surely, 21356644106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1356644106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533168000).

1356644106 is an abundant number, since it is smaller than the sum of its proper divisors (1709691894).

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

1356644106 is a wasteful number, since it uses less digits than its factorization.

1356644106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1356644106 is about 36832.6499996946. The cubic root of 1356644106 is about 1107.0196014479.

The spelling of 1356644106 in words is "one billion, three hundred fifty-six million, six hundred forty-four thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 103 149 206 298 309 447 618 894 927 1341 1637 1854 2682 2781 3274 4023 4911 5562 8046 9822 14733 15347 29466 30694 44199 46041 88398 92082 138123 168611 243913 276246 337222 414369 487826 505833 731739 828738 1011666 1463478 1517499 2195217 3034998 4390434 4552497 6585651 9104994 13171302 25123039 50246078 75369117 150738234 226107351 452214702 678322053 1356644106