Search a number
-
+
974332768 = 251911231427
BaseRepresentation
bin111010000100110…
…010001101100000
32111220101020021211
4322010302031200
53443412122033
6240403155504
733100456213
oct7204621540
92456336254
10974332768
1145aa926a2
12232375b94
13126b21386
149358977a
155a8112cd
hex3a132360

974332768 has 48 divisors (see below), whose sum is σ = 2022390720. Its totient is φ = 460791936.

The previous prime is 974332763. The next prime is 974332769. The reversal of 974332768 is 867233479.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (974332763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 682071 + ... + 683497.

It is an arithmetic number, because the mean of its divisors is an integer number (42133140).

Almost surely, 2974332768 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 974332768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011195360).

974332768 is an abundant number, since it is smaller than the sum of its proper divisors (1048057952).

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

974332768 is a wasteful number, since it uses less digits than its factorization.

974332768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 2571 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 49.

The square root of 974332768 is about 31214.3039006158. The cubic root of 974332768 is about 991.3699932288.

The spelling of 974332768 in words is "nine hundred seventy-four million, three hundred thirty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 1123 1427 2246 2854 4492 5708 8984 11416 17968 21337 22832 27113 35936 42674 45664 54226 85348 108452 170696 216904 341392 433808 682784 867616 1602521 3205042 6410084 12820168 25640336 30447899 51280672 60895798 121791596 243583192 487166384 974332768