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972340 = 22561797
BaseRepresentation
bin11101101011000110100
31211101210121
43231120310
5222103330
632501324
711156545
oct3553064
91741717
10972340
11604596
123aa844
13280765
141b44cc
1514317a
hexed634

972340 has 24 divisors (see below), whose sum is σ = 2077992. Its totient is φ = 382080.

The previous prime is 972337. The next prime is 972343. The reversal of 972340 is 43279.

It is an interprime number because it is at equal distance from previous prime (972337) and next prime (972343).

It can be written as a sum of positive squares in 4 ways, for example, as 144 + 972196 = 12^2 + 986^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 822 + ... + 1618.

It is an arithmetic number, because the mean of its divisors is an integer number (86583).

2972340 is an apocalyptic number.

It is an amenable number.

972340 is an abundant number, since it is smaller than the sum of its proper divisors (1105652).

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

972340 is a wasteful number, since it uses less digits than its factorization.

972340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 972340 is about 986.0730196086. The cubic root of 972340 is about 99.0693660717.

Subtracting from 972340 its sum of digits (25), we obtain a triangular number (972315 = T1394).

The spelling of 972340 in words is "nine hundred seventy-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 797 1220 1594 3188 3985 7970 15940 48617 97234 194468 243085 486170 972340