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3106907040 = 25356472723
BaseRepresentation
bin1011100100101111…
…1010001110100000
322000112012020020010
42321023322032200
522330332011130
61232143444520
7136664163006
oct27113721640
98015166203
103106907040
11135484a276
127285b6740
133a68a5b43
142168b4a76
15132b600b0
hexb92fa3a0

3106907040 has 48 divisors (see below), whose sum is σ = 9786758688. Its totient is φ = 828508416.

The previous prime is 3106907033. The next prime is 3106907053. The reversal of 3106907040 is 407096013.

It is a happy number.

3106907040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3106906989 and 3106907007.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3235882 + ... + 3236841.

It is an arithmetic number, because the mean of its divisors is an integer number (203890806).

Almost surely, 23106907040 is an apocalyptic number.

3106907040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3106907040 is an abundant number, since it is smaller than the sum of its proper divisors (6679851648).

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

3106907040 is a wasteful number, since it uses less digits than its factorization.

3106907040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6472741 (or 6472733 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 3106907040 is about 55739.6361667351. The cubic root of 3106907040 is about 1459.1818522433.

The spelling of 3106907040 in words is "three billion, one hundred six million, nine hundred seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 6472723 12945446 19418169 25890892 32363615 38836338 51781784 64727230 77672676 97090845 103563568 129454460 155345352 194181690 207127136 258908920 310690704 388363380 517817840 621381408 776726760 1035635680 1553453520 3106907040