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9974430 = 2325192307
BaseRepresentation
bin100110000011…
…001010011110
3200202202100100
4212003022132
510023140210
6553441530
7150531654
oct46031236
920682310
109974430
1156a2a34
1234102a6
1320b303b
141478dd4
15d205c0
hex98329e

9974430 has 72 divisors (see below), whose sum is σ = 27459432. Its totient is φ = 2511648.

The previous prime is 9974407. The next prime is 9974431. The reversal of 9974430 is 344799.

It is a d-powerful number, because it can be written as 94 + 94 + 78 + 42 + 411 + 37 + 0 .

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9974431) 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 35 ways as a sum of consecutive naturals, for example, 32337 + ... + 32643.

It is an arithmetic number, because the mean of its divisors is an integer number (381381).

Almost surely, 29974430 is an apocalyptic number.

9974430 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9974430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13729716).

9974430 is an abundant number, since it is smaller than the sum of its proper divisors (17485002).

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

9974430 is a wasteful number, since it uses less digits than its factorization.

9974430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 9974430 is about 3158.2321004005. The cubic root of 9974430 is about 215.2596826167.

It can be divided in two parts, 9974 and 430, that added together give a square (10404 = 1022).

The spelling of 9974430 in words is "nine million, nine hundred seventy-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 307 342 361 570 614 722 855 921 1083 1535 1710 1805 1842 2166 2763 3070 3249 3610 4605 5415 5526 5833 6498 9210 10830 11666 13815 16245 17499 27630 29165 32490 34998 52497 58330 87495 104994 110827 174990 221654 262485 332481 524970 554135 664962 997443 1108270 1662405 1994886 3324810 4987215 9974430