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34021610010 = 2335532377471
BaseRepresentation
bin11111101011110110…
…001001001000011010
310020211000122212012000
4133223312021020122
51024134013010020
623343533101430
72313041625243
oct375366111032
9106730585160
1034021610010
1113479348173
126715927876
1332926119ab
14190a5c5cca
15d41c1c090
hex7ebd8921a

34021610010 has 64 divisors (see below), whose sum is σ = 92436111360. Its totient is φ = 8901247680.

The previous prime is 34021609991. The next prime is 34021610041. The reversal of 34021610010 is 1001612043.

It is a happy number.

34021610010 is a `hidden beast` number, since 3 + 40 + 2 + 1 + 610 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1174426 + ... + 1203045.

It is an arithmetic number, because the mean of its divisors is an integer number (1444314240).

Almost surely, 234021610010 is an apocalyptic number.

34021610010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34021610010 is an abundant number, since it is smaller than the sum of its proper divisors (58414501350).

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

34021610010 is a wasteful number, since it uses less digits than its factorization.

34021610010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377540 (or 2377534 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 34021610010 in words is "thirty-four billion, twenty-one million, six hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 265 270 318 477 530 795 954 1431 1590 2385 2862 4770 7155 14310 2377471 4754942 7132413 11887355 14264826 21397239 23774710 35662065 42794478 64191717 71324130 106986195 126005963 128383434 213972390 252011926 320958585 378017889 630029815 641917170 756035778 1134053667 1260059630 1890089445 2268107334 3402161001 3780178890 5670268335 6804322002 11340536670 17010805005 34021610010