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4234680 = 233451307
BaseRepresentation
bin10000001001110110111000
321222010220000
4100021312320
52041002210
6230433000
750665002
oct20116670
97863800
104234680
11243263a
121502760
13b53638
147c3372
15589ac0
hex409db8

4234680 has 80 divisors (see below), whose sum is σ = 14244120. Its totient is φ = 1128384.

The previous prime is 4234679. The next prime is 4234697. The reversal of 4234680 is 864324.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2587 + ... + 3893.

Almost surely, 24234680 is an apocalyptic number.

4234680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7122060).

4234680 is an abundant number, since it is smaller than the sum of its proper divisors (10009440).

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

4234680 is a wasteful number, since it uses less digits than its factorization.

4234680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4234680 is about 2057.8338125320. The cubic root of 4234680 is about 161.7857249369.

The spelling of 4234680 in words is "four million, two hundred thirty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1307 1620 2614 3240 3921 5228 6535 7842 10456 11763 13070 15684 19605 23526 26140 31368 35289 39210 47052 52280 58815 70578 78420 94104 105867 117630 141156 156840 176445 211734 235260 282312 352890 423468 470520 529335 705780 846936 1058670 1411560 2117340 4234680