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971434968 = 233710157251
BaseRepresentation
bin111001111001101…
…110101111011000
32111200221000020220
4321321232233120
53442141404333
6240221120040
733034026630
oct7171565730
92450830226
10971434968
11459393519
122313b9020
131263483ba
14930336c0
155a43c8b3
hex39e6ebd8

971434968 has 64 divisors (see below), whose sum is σ = 2803057920. Its totient is φ = 274800000.

The previous prime is 971434967. The next prime is 971434991. The reversal of 971434968 is 869434179.

It is a super-2 number, since 2×9714349682 = 1887371794106322048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 971434968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971434967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11658 + ... + 45593.

It is an arithmetic number, because the mean of its divisors is an integer number (43797780).

Almost surely, 2971434968 is an apocalyptic number.

It is an amenable number.

971434968 is an abundant number, since it is smaller than the sum of its proper divisors (1831622952).

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

971434968 is a wasteful number, since it uses less digits than its factorization.

971434968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57368 (or 57364 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 971434968 is about 31167.8515140200. The cubic root of 971434968 is about 990.3861935790.

The spelling of 971434968 in words is "nine hundred seventy-one million, four hundred thirty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 101 168 202 303 404 606 707 808 1212 1414 2121 2424 2828 4242 5656 8484 16968 57251 114502 171753 229004 343506 400757 458008 687012 801514 1202271 1374024 1603028 2404542 3206056 4809084 5782351 9618168 11564702 17347053 23129404 34694106 40476457 46258808 69388212 80952914 121429371 138776424 161905828 242858742 323811656 485717484 971434968