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34521068970 = 2335314124381
BaseRepresentation
bin100000001001100111…
…011011010110101010
310022002211111000002000
4200021213123112222
51031144343201340
623505254151430
72331315146643
oct401147332652
9108084430060
1034521068970
1113705275073
126835052576
133341c3773b
141956a7a6ca
15d709c9d30
hex8099db5aa

34521068970 has 64 divisors (see below), whose sum is σ = 95025761280. Its totient is φ = 8908660800.

The previous prime is 34521068957. The next prime is 34521068977. The reversal of 34521068970 is 7986012543.

34521068970 is a `hidden beast` number, since 3 + 452 + 106 + 8 + 97 + 0 = 666.

It is a super-3 number, since 3×345210689703 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (34521068977) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2053821 + ... + 2070560.

It is an arithmetic number, because the mean of its divisors is an integer number (1484777520).

It is a 1-persistent number, because it is pandigital, but 2⋅34521068970 = 69042137940 is not.

Almost surely, 234521068970 is an apocalyptic number.

34521068970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34521068970 is an abundant number, since it is smaller than the sum of its proper divisors (60504692310).

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

34521068970 is a wasteful number, since it uses less digits than its factorization.

34521068970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124428 (or 4124422 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 34521068970 in words is "thirty-four billion, five hundred twenty-one million, sixty-eight thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2790 4185 8370 4124381 8248762 12373143 20621905 24746286 37119429 41243810 61865715 74238858 111358287 123731430 127855811 185597145 222716574 255711622 371194290 383567433 556791435 639279055 767134866 1113582870 1150702299 1278558110 1917837165 2301404598 3452106897 3835674330 5753511495 6904213794 11507022990 17260534485 34521068970