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3884623104 = 28383149409
BaseRepresentation
bin1110011110001010…
…1010010100000000
3101000201121022002210
43213202222110000
530423430414404
61441244542120
7165156515535
oct34742522400
911021538083
103884623104
11171384a91a
12904b51940
1349ba55b6b
1428bcbcd8c
1517b084689
hexe78aa500

3884623104 has 144 divisors (see below), whose sum is σ = 10559304000. Its totient is φ = 1267580928.

The previous prime is 3884623091. The next prime is 3884623129. The reversal of 3884623104 is 4013264883.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 9497652 + ... + 9498060.

It is an arithmetic number, because the mean of its divisors is an integer number (73328500).

Almost surely, 23884623104 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 3884623104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5279652000).

3884623104 is an abundant number, since it is smaller than the sum of its proper divisors (6674680896).

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

3884623104 is a wasteful number, since it uses less digits than its factorization.

3884623104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 3884623104 is about 62326.7446927882. The cubic root of 3884623104 is about 1571.9894592330.

Adding to 3884623104 its reverse (4013264883), we get a palindrome (7897887987).

The spelling of 3884623104 in words is "three billion, eight hundred eighty-four million, six hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 149 166 192 249 256 298 332 384 409 447 498 596 664 768 818 894 996 1192 1227 1328 1636 1788 1992 2384 2454 2656 3272 3576 3984 4768 4908 5312 6544 7152 7968 9536 9816 10624 12367 13088 14304 15936 19072 19632 21248 24734 26176 28608 31872 33947 37101 38144 39264 49468 52352 57216 60941 63744 67894 74202 78528 98936 101841 104704 114432 121882 135788 148404 157056 182823 197872 203682 243764 271576 296808 314112 365646 395744 407364 487528 543152 593616 731292 791488 814728 975056 1086304 1187232 1462584 1582976 1629456 1950112 2172608 2374464 2925168 3165952 3258912 3900224 4345216 4748928 5058103 5850336 6517824 7800448 8690432 9497856 10116206 11700672 13035648 15174309 15600896 20232412 23401344 26071296 30348618 40464824 46802688 60697236 80929648 121394472 161859296 242788944 323718592 485577888 647437184 971155776 1294874368 1942311552 3884623104