Search a number
-
+
3023442100 = 225273181487
BaseRepresentation
bin1011010000110110…
…0001000010110100
321210201010202212001
42310031201002310
522143000121400
61220002505044
7134631556000
oct26415410264
97721122761
103023442100
111311721888
12704665184
133925015c3
14209789700
1512a674a6a
hexb43610b4

3023442100 has 144 divisors (see below), whose sum is σ = 7709228800. Its totient is φ = 1028764800.

The previous prime is 3023442043. The next prime is 3023442119. The reversal of 3023442100 is 12443203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6208057 + ... + 6208543.

Almost surely, 23023442100 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 3023442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3854614400).

3023442100 is an abundant number, since it is smaller than the sum of its proper divisors (4685786700).

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

3023442100 is a wasteful number, since it uses less digits than its factorization.

3023442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3023442100 is about 54985.8354487772. The cubic root of 3023442100 is about 1445.9964232493.

Adding to 3023442100 its reverse (12443203), we get a palindrome (3035885303).

The spelling of 3023442100 in words is "three billion, twenty-three million, four hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 181 196 245 343 350 362 487 490 686 700 724 905 974 980 1225 1267 1372 1715 1810 1948 2435 2450 2534 3409 3430 3620 4525 4870 4900 5068 6335 6818 6860 8575 8869 9050 9740 12175 12670 13636 17045 17150 17738 18100 23863 24350 25340 31675 34090 34300 35476 44345 47726 48700 62083 63350 68180 85225 88147 88690 95452 119315 124166 126700 167041 170450 176294 177380 221725 238630 248332 310415 334082 340900 352588 440735 443450 477260 596575 617029 620830 668164 835205 881470 886900 1193150 1234058 1241660 1552075 1670410 1762940 2203675 2386300 2468116 3085145 3104150 3340820 4176025 4319203 4407350 6170290 6208300 8352050 8638406 8814700 12340580 15425725 16704100 17276812 21596015 30234421 30851450 43192030 60468842 61702900 86384060 107980075 120937684 151172105 215960150 302344210 431920300 604688420 755860525 1511721050 3023442100