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3322000413 = 3217191142759
BaseRepresentation
bin1100011000000001…
…1011010000011101
322120111221002212100
43012000123100131
523300413003123
61305345555313
7145215352254
oct30600332035
98514832770
103322000413
111455201096
12788645b39
1340c316124
142372a579b
1514699b643
hexc601b41d

3322000413 has 24 divisors (see below), whose sum is σ = 5348116800. Its totient is φ = 1974685824.

The previous prime is 3322000399. The next prime is 3322000421. The reversal of 3322000413 is 3140002233.

3322000413 is a `hidden beast` number, since 33 + 220 + 0 + 0 + 413 = 666.

It is not a de Polignac number, because 3322000413 - 26 = 3322000349 is a prime.

It is a super-3 number, since 3×33220004133 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3322000463) 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 23 ways as a sum of consecutive naturals, for example, 568473 + ... + 574286.

It is an arithmetic number, because the mean of its divisors is an integer number (222838200).

Almost surely, 23322000413 is an apocalyptic number.

It is an amenable number.

3322000413 is a deficient number, since it is larger than the sum of its proper divisors (2026116387).

3322000413 is a wasteful number, since it uses less digits than its factorization.

3322000413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142801 (or 1142798 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3322000413 is about 57636.7973867390. The cubic root of 3322000413 is about 1492.1067465559.

Adding to 3322000413 its reverse (3140002233), we get a palindrome (6462002646).

The spelling of 3322000413 in words is "three billion, three hundred twenty-two million, four hundred thirteen", and thus it is an aban number.

Divisors: 1 3 9 17 19 51 57 153 171 323 969 2907 1142759 3428277 10284831 19426903 21712421 58280709 65137263 174842127 195411789 369111157 1107333471 3322000413