Search a number
-
+
32968350 = 2335224421
BaseRepresentation
bin111110111000…
…0111010011110
32022000222002000
41331300322132
531414441400
63134343130
7550140432
oct175607236
968028060
1032968350
1117678678
12b05aaa6
136aa40cc
1445429c2
152d63600
hex1f70e9e

32968350 has 48 divisors (see below), whose sum is σ = 90849840. Its totient is φ = 8791200.

The previous prime is 32968349. The next prime is 32968357. The reversal of 32968350 is 5386923.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32968357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10861 + ... + 13560.

It is an arithmetic number, because the mean of its divisors is an integer number (1892705).

Almost surely, 232968350 is an apocalyptic number.

32968350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32968350 is an abundant number, since it is smaller than the sum of its proper divisors (57881490).

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

32968350 is a wasteful number, since it uses less digits than its factorization.

32968350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24442 (or 24431 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 32968350 is about 5741.8072067947. The cubic root of 32968350 is about 320.6508562986.

The spelling of 32968350 in words is "thirty-two million, nine hundred sixty-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1350 24421 48842 73263 122105 146526 219789 244210 366315 439578 610525 659367 732630 1098945 1221050 1318734 1831575 2197890 3296835 3663150 5494725 6593670 10989450 16484175 32968350