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3287342424 = 233317360527
BaseRepresentation
bin1100001111110000…
…1101110101011000
322111002201022001010
43003330031311120
523213024424144
61302111053520
7144314643462
oct30374156530
98432638033
103287342424
11143768a023
12778b112a0
1340509cc42
14232843132
151439025b9
hexc3f0dd58

3287342424 has 64 divisors (see below), whose sum is σ = 8599818240. Its totient is φ = 1045889280.

The previous prime is 3287342423. The next prime is 3287342501. The reversal of 3287342424 is 4242437823.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3287342423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24049 + ... + 84575.

It is an arithmetic number, because the mean of its divisors is an integer number (134372160).

Almost surely, 23287342424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3287342424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4299909120).

3287342424 is an abundant number, since it is smaller than the sum of its proper divisors (5312475816).

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

3287342424 is a wasteful number, since it uses less digits than its factorization.

3287342424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60640 (or 60636 counting only the distinct ones).

The product of its digits is 258048, while the sum is 39.

The square root of 3287342424 is about 57335.3505614119. The cubic root of 3287342424 is about 1486.8996120822.

The spelling of 3287342424 in words is "three billion, two hundred eighty-seven million, three hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 73 93 124 146 186 219 248 292 372 438 584 744 876 1752 2263 4526 6789 9052 13578 18104 27156 54312 60527 121054 181581 242108 363162 484216 726324 1452648 1876337 3752674 4418471 5629011 7505348 8836942 11258022 13255413 15010696 17673884 22516044 26510826 35347768 45032088 53021652 106043304 136972601 273945202 410917803 547890404 821835606 1095780808 1643671212 3287342424