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34023038336 = 27737972141
BaseRepresentation
bin11111101011111011…
…100101110110000000
310020211010100102110222
4133223323211312000
51024134344211321
623344023442212
72313060024410
oct375373456600
9106733312428
1034023038336
111347a133301
1267162b6368
1332929c1b61
14190a878640
15d41e003ab
hex7ebee5d80

34023038336 has 32 divisors (see below), whose sum is σ = 77463169680. Its totient is φ = 14581301760.

The previous prime is 34023038299. The next prime is 34023038341. The reversal of 34023038336 is 63383032043.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×340230383362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34023038296 and 34023038305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18985175 + ... + 18986966.

Almost surely, 234023038336 is an apocalyptic number.

It is an amenable number.

34023038336 is an abundant number, since it is smaller than the sum of its proper divisors (43440131344).

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

34023038336 is an equidigital number, since it uses as much as digits as its factorization.

34023038336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37972162 (or 37972150 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 35.

The spelling of 34023038336 in words is "thirty-four billion, twenty-three million, thirty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 37972141 75944282 151888564 265804987 303777128 531609974 607554256 1063219948 1215108512 2126439896 2430217024 4252879792 4860434048 8505759584 17011519168 34023038336