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3342840 = 233589313
BaseRepresentation
bin1100110000000111111000
320021211111220
430300013320
51323432330
6155352040
740261614
oct14600770
96254456
103342840
111983586
121152620
13900717
14630344
15460710
hex3301f8

3342840 has 64 divisors (see below), whose sum is σ = 10173600. Its totient is φ = 878592.

The previous prime is 3342821. The next prime is 3342847. The reversal of 3342840 is 482433.

It is a super-2 number, since 2×33428402 = 22349158531200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3342840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3342847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10524 + ... + 10836.

Almost surely, 23342840 is an apocalyptic number.

3342840 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 3342840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5086800).

3342840 is an abundant number, since it is smaller than the sum of its proper divisors (6830760).

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

3342840 is a wasteful number, since it uses less digits than its factorization.

3342840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3342840 is about 1828.3435125818. The cubic root of 3342840 is about 149.5220341643.

The spelling of 3342840 in words is "three million, three hundred forty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 313 356 445 534 626 712 890 939 1068 1252 1335 1565 1780 1878 2136 2504 2670 3130 3560 3756 4695 5340 6260 7512 9390 10680 12520 18780 27857 37560 55714 83571 111428 139285 167142 222856 278570 334284 417855 557140 668568 835710 1114280 1671420 3342840