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7640334 = 23213103317
BaseRepresentation
bin11101001001010100001110
3112101011120100
4131021110032
53423442314
6431431530
7121641012
oct35112416
915334510
107640334
114349329
1226855a6
131776810
14102c542
15a0dc09
hex74950e

7640334 has 48 divisors (see below), whose sum is σ = 18057312. Its totient is φ = 2320704.

The previous prime is 7640333. The next prime is 7640341. The reversal of 7640334 is 4330467.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 7640298 and 7640307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7640333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23944 + ... + 24260.

It is an arithmetic number, because the mean of its divisors is an integer number (376194).

Almost surely, 27640334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7640334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9028656).

7640334 is an abundant number, since it is smaller than the sum of its proper divisors (10416978).

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

7640334 is a wasteful number, since it uses less digits than its factorization.

7640334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 7640334 is about 2764.1154100363. The cubic root of 7640334 is about 196.9567101492.

The spelling of 7640334 in words is "seven million, six hundred forty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 103 117 206 234 309 317 618 634 927 951 1339 1854 1902 2678 2853 4017 4121 5706 8034 8242 12051 12363 24102 24726 32651 37089 65302 74178 97953 195906 293859 424463 587718 848926 1273389 2546778 3820167 7640334