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8340980 = 2252973197
BaseRepresentation
bin11111110100010111110100
3120200202200012
4133310113310
54113402410
6454435352
7130616504
oct37642764
916622605
108340980
11478777a
122962b58
1319606bb
141171a04
15aeb605
hex7f45f4

8340980 has 48 divisors (see below), whose sum is σ = 18461520. Its totient is φ = 3161088.

The previous prime is 8340977. The next prime is 8340989. The reversal of 8340980 is 890438.

It can be written as a sum of positive squares in 8 ways, for example, as 712336 + 7628644 = 844^2 + 2762^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8340989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42242 + ... + 42438.

It is an arithmetic number, because the mean of its divisors is an integer number (384615).

Almost surely, 28340980 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 8340980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9230760).

8340980 is an abundant number, since it is smaller than the sum of its proper divisors (10120540).

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

8340980 is a wasteful number, since it uses less digits than its factorization.

8340980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 8340980 is about 2888.0754837781. The cubic root of 8340980 is about 202.8020589899.

The spelling of 8340980 in words is "eight million, three hundred forty thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 73 116 145 146 197 290 292 365 394 580 730 788 985 1460 1970 2117 3940 4234 5713 8468 10585 11426 14381 21170 22852 28565 28762 42340 57130 57524 71905 114260 143810 287620 417049 834098 1668196 2085245 4170490 8340980