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34093001808 = 2432298164033
BaseRepresentation
bin11111110000000110…
…011110110001010000
310020222222222221022200
4133300012132301100
51024310302024213
623355003203200
72314566506505
oct376006366120
9106888887280
1034093001808
1113505679958
126735816500
1332a4349b68
141915c8b4ac
15d48120273
hex7f019ec50

34093001808 has 60 divisors (see below), whose sum is σ = 98703171060. Its totient is φ = 10972459008.

The previous prime is 34093001753. The next prime is 34093001869. The reversal of 34093001808 is 80810039043.

34093001808 is a `hidden beast` number, since 340 + 9 + 300 + 1 + 8 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10834311744 + 23258690064 = 104088^2 + 152508^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4077841 + ... + 4086192.

It is an arithmetic number, because the mean of its divisors is an integer number (1645052851).

Almost surely, 234093001808 is an apocalyptic number.

It is an amenable number.

34093001808 is an abundant number, since it is smaller than the sum of its proper divisors (64610169252).

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

34093001808 is a wasteful number, since it uses less digits than its factorization.

34093001808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8164076 (or 8164067 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 34093001808 in words is "thirty-four billion, ninety-three million, one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 8164033 16328066 24492099 32656132 48984198 65312264 73476297 97968396 130624528 146952594 195936792 236756957 293905188 391873584 473513914 587810376 710270871 947027828 1175620752 1420541742 1894055656 2130812613 2841083484 3788111312 4261625226 5682166968 8523250452 11364333936 17046500904 34093001808