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9970345 = 5711192947
BaseRepresentation
bin100110000010…
…001010101001
3200202112202001
4212002022221
510023022340
6553411001
7150514030
oct46021251
920675661
109970345
11569a960
123409a61
1320b1218
141477717
15d1e29a
hex9822a9

9970345 has 64 divisors (see below), whose sum is σ = 16588800. Its totient is φ = 5564160.

The previous prime is 9970343. The next prime is 9970357. The reversal of 9970345 is 5430799.

9970345 is a nontrivial binomial coefficient, being equal to C(4466, 2).

It is not a de Polignac number, because 9970345 - 21 = 9970343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9970343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212112 + ... + 212158.

It is an arithmetic number, because the mean of its divisors is an integer number (259200).

Almost surely, 29970345 is an apocalyptic number.

9970345 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

9970345 is the 4465-th triangular number and also the 2233-rd hexagonal number.

9970345 is the 1489-th centered nonagonal number.

It is an amenable number.

9970345 is a deficient number, since it is larger than the sum of its proper divisors (6618455).

9970345 is a wasteful number, since it uses less digits than its factorization.

9970345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118.

The product of its (nonzero) digits is 34020, while the sum is 37.

The square root of 9970345 is about 3157.5853115949. The cubic root of 9970345 is about 215.2302922698.

The spelling of 9970345 in words is "nine million, nine hundred seventy thousand, three hundred forty-five".

Divisors: 1 5 7 11 19 29 35 47 55 77 95 133 145 203 209 235 319 329 385 517 551 665 893 1015 1045 1363 1463 1595 1645 2233 2585 2755 3619 3857 4465 6061 6251 6815 7315 9541 9823 11165 14993 18095 19285 25897 30305 31255 42427 47705 49115 68761 74965 104951 129485 181279 212135 284867 343805 524755 906395 1424335 1994069 9970345