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3397842 = 233789101
BaseRepresentation
bin1100111101100011010010
320101121222000
430331203102
51332212332
6200454430
740611150
oct14754322
96347860
103397842
111a10938
12117a416
1391c776
146463d0
15471b7c
hex33d8d2

3397842 has 64 divisors (see below), whose sum is σ = 8812800. Its totient is φ = 950400.

The previous prime is 3397837. The next prime is 3397853. The reversal of 3397842 is 2487933.

It is a junction number, because it is equal to n+sod(n) for n = 3397797 and 3397806.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33592 + ... + 33692.

It is an arithmetic number, because the mean of its divisors is an integer number (137700).

Almost surely, 23397842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3397842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406400).

3397842 is an abundant number, since it is smaller than the sum of its proper divisors (5414958).

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

3397842 is a wasteful number, since it uses less digits than its factorization.

3397842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 202 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 3397842 is about 1843.3236286664. The cubic root of 3397842 is about 150.3376394272.

Subtracting from 3397842 its reverse (2487933), we obtain a palindrome (909909).

The spelling of 3397842 in words is "three million, three hundred ninety-seven thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 89 101 126 178 189 202 267 303 378 534 606 623 707 801 909 1246 1414 1602 1818 1869 2121 2403 2727 3738 4242 4806 5454 5607 6363 8989 11214 12726 16821 17978 19089 26967 33642 38178 53934 62923 80901 125846 161802 188769 242703 377538 485406 566307 1132614 1698921 3397842