Search a number
-
+
3137368 = 231397311
BaseRepresentation
bin1011111101111101011000
312220101122211
423331331120
51300343433
6151124504
735444563
oct13757530
95811584
103137368
111853173
121073734
1385b040
145b94da
1541e8cd
hex2fdf58

3137368 has 32 divisors (see below), whose sum is σ = 6420960. Its totient is φ = 1428480.

The previous prime is 3137357. The next prime is 3137371. The reversal of 3137368 is 8637313.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9933 + ... + 10243.

It is an arithmetic number, because the mean of its divisors is an integer number (200655).

Almost surely, 23137368 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 3137368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210480).

3137368 is an abundant number, since it is smaller than the sum of its proper divisors (3283592).

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

3137368 is a wasteful number, since it uses less digits than its factorization.

3137368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 423 counting only the distinct ones).

The product of its digits is 9072, while the sum is 31.

The square root of 3137368 is about 1771.2616972091. The cubic root of 3137368 is about 146.3935090237.

Subtracting 3137368 from its reverse (8637313), we obtain a palindrome (5499945).

The spelling of 3137368 in words is "three million, one hundred thirty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 97 104 194 311 388 622 776 1244 1261 2488 2522 4043 5044 8086 10088 16172 30167 32344 60334 120668 241336 392171 784342 1568684 3137368