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34758009 = 321113113239
BaseRepresentation
bin1000010010010…
…1110101111001
32102101220000200
42010211311321
532344224014
63240552413
7601303206
oct204456571
972356020
1034758009
1118690230
12b782709
13727c890
14488acad
1530b8a09
hex2125d79

34758009 has 48 divisors (see below), whose sum is σ = 59754240. Its totient is φ = 19192320.

The previous prime is 34758007. The next prime is 34758019. The reversal of 34758009 is 90085743.

34758009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34758009 - 21 = 34758007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34758007) 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, 145312 + ... + 145550.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 234758009 is an apocalyptic number.

34758009 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

34758009 is the 3729-th heptagonal number.

It is an amenable number.

34758009 is a deficient number, since it is larger than the sum of its proper divisors (24996231).

34758009 is a wasteful number, since it uses less digits than its factorization.

34758009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 34758009 is about 5895.5923366529. The cubic root of 34758009 is about 326.3510120125.

The spelling of 34758009 in words is "thirty-four million, seven hundred fifty-eight thousand, nine".

Divisors: 1 3 9 11 13 33 39 99 113 117 143 239 339 429 717 1017 1243 1287 1469 2151 2629 3107 3729 4407 7887 9321 11187 13221 16159 23661 27007 27963 34177 48477 81021 102531 145431 243063 297077 307593 351091 891231 1053273 2673693 3159819 3862001 11586003 34758009