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34383614629 = 721333110303
BaseRepresentation
bin100000000001011011…
…000101001010100101
310021202020211121011111
4200001123011022211
51030404201132004
623443504105021
72325025621300
oct400133051245
9107666747144
1034383614629
1113644721641
1267b7005171
13331c60c000
1419426d9b37
15d638c7a04
hex8016c52a5

34383614629 has 48 divisors (see below), whose sum is σ = 44730900480. Its totient is φ = 26324494560.

The previous prime is 34383614599. The next prime is 34383614653. The reversal of 34383614629 is 92641638343.

It is not a de Polignac number, because 34383614629 - 29 = 34383614117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34383614029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3332092 + ... + 3342394.

It is an arithmetic number, because the mean of its divisors is an integer number (931893760).

Almost surely, 234383614629 is an apocalyptic number.

It is an amenable number.

34383614629 is a deficient number, since it is larger than the sum of its proper divisors (10347285851).

34383614629 is a wasteful number, since it uses less digits than its factorization.

34383614629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10387 (or 10354 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 49.

The spelling of 34383614629 in words is "thirty-four billion, three hundred eighty-three million, six hundred fourteen thousand, six hundred twenty-nine".

Divisors: 1 7 13 31 49 91 169 217 403 637 1183 1519 2197 2821 5239 8281 10303 15379 19747 36673 68107 72121 107653 133939 256711 319393 476749 504847 937573 1741207 2235751 3337243 4152109 6563011 12188449 15650257 22635691 29064763 53977417 85319143 158449837 203453341 377841919 701706421 1109148859 2644893433 4911944947 34383614629