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972040331 = 17563101561
BaseRepresentation
bin111001111100000…
…010100010001011
32111202001202122202
4321330002202023
53442320242311
6240242110415
733042130553
oct7174024213
92452052582
10972040331
11459767319
1223164b40b
131264caac2
1493150163
155a50be3b
hex39f0288b

972040331 has 8 divisors (see below), whose sum is σ = 1031057424. Its totient is φ = 913227520.

The previous prime is 972040319. The next prime is 972040337. The reversal of 972040331 is 133040279.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 972040331 - 222 = 967846027 is a prime.

It is a super-3 number, since 3×9720403313 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 972040294 and 972040303.

It is not an unprimeable number, because it can be changed into a prime (972040337) 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, 41210 + ... + 60351.

It is an arithmetic number, because the mean of its divisors is an integer number (128882178).

Almost surely, 2972040331 is an apocalyptic number.

972040331 is a deficient number, since it is larger than the sum of its proper divisors (59017093).

972040331 is a wasteful number, since it uses less digits than its factorization.

972040331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102141.

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 972040331 is about 31177.5613382445. The cubic root of 972040331 is about 990.5918750991.

The spelling of 972040331 in words is "nine hundred seventy-two million, forty thousand, three hundred thirty-one".

Divisors: 1 17 563 9571 101561 1726537 57178843 972040331