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34013501226 = 2322637184939
BaseRepresentation
bin11111101011010111…
…001101011100101010
310020210110101220000200
4133223113031130222
51024124424014401
623343043213030
72312612663415
oct375327153452
9106713356020
1034013501226
11134748099a1
126713077176
133290a32bb3
1419094b4b7c
15d41169686
hex7eb5cd72a

34013501226 has 24 divisors (see below), whose sum is σ = 73976142240. Its totient is φ = 11294722536.

The previous prime is 34013501209. The next prime is 34013501233. The reversal of 34013501226 is 62210531043.

34013501226 is a `hidden beast` number, since 3 + 401 + 35 + 0 + 1 + 226 = 666.

It is a super-2 number, since 2×340135012262 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34013501226.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3587736 + ... + 3597203.

It is an arithmetic number, because the mean of its divisors is an integer number (3082339260).

Almost surely, 234013501226 is an apocalyptic number.

34013501226 is an abundant number, since it is smaller than the sum of its proper divisors (39962641014).

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

34013501226 is a wasteful number, since it uses less digits than its factorization.

34013501226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7185210 (or 7185207 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 34013501226 in words is "thirty-four billion, thirteen million, five hundred one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 263 526 789 1578 2367 4734 7184939 14369878 21554817 43109634 64664451 129328902 1889638957 3779277914 5668916871 11337833742 17006750613 34013501226