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3431340 = 22325111733
BaseRepresentation
bin1101000101101110101100
320110022220200
431011232230
51334300330
6201313500
741110623
oct15055654
96408820
103431340
111a34020
121195890
13931aa3
146546ba
1547ba60
hex345bac

3431340 has 72 divisors (see below), whose sum is σ = 11361168. Its totient is φ = 831360.

The previous prime is 3431333. The next prime is 3431353. The reversal of 3431340 is 431343.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1114 + ... + 2846.

It is an arithmetic number, because the mean of its divisors is an integer number (157794).

Almost surely, 23431340 is an apocalyptic number.

3431340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5680584).

3431340 is an abundant number, since it is smaller than the sum of its proper divisors (7929828).

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

3431340 is a wasteful number, since it uses less digits than its factorization.

3431340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1754 counting only the distinct ones).

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

The square root of 3431340 is about 1852.3876484149. The cubic root of 3431340 is about 150.8300648098.

Adding to 3431340 its reverse (431343), we get a palindrome (3862683).

The spelling of 3431340 in words is "three million, four hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1733 1980 3466 5199 6932 8665 10398 15597 17330 19063 20796 25995 31194 34660 38126 51990 57189 62388 76252 77985 95315 103980 114378 155970 171567 190630 228756 285945 311940 343134 381260 571890 686268 857835 1143780 1715670 3431340