Search a number
-
+
3830870780 = 22511173672791
BaseRepresentation
bin1110010001010110…
…0111001011111100
3100212222110101202222
43210111213023330
530321200331110
61432044504512
7163634602322
oct34425471374
910788411688
103830870780
111696476a10
128aab4b138
13490885859
14284ac9d12
151764b7c55
hexe45672fc

3830870780 has 96 divisors (see below), whose sum is σ = 9321080832. Its totient is φ = 1307059200.

The previous prime is 3830870773. The next prime is 3830870789. The reversal of 3830870780 is 870780383.

It is a super-4 number, since 4×38308707804 (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3830870789) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1371185 + ... + 1373975.

It is an arithmetic number, because the mean of its divisors is an integer number (97094592).

Almost surely, 23830870780 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 3830870780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4660540416).

3830870780 is an abundant number, since it is smaller than the sum of its proper divisors (5490210052).

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

3830870780 is a wasteful number, since it uses less digits than its factorization.

3830870780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3195 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 44.

The square root of 3830870780 is about 61894.0286295859. The cubic root of 3830870780 is about 1564.7051103579.

The spelling of 3830870780 in words is "three billion, eight hundred thirty million, eight hundred seventy thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 367 374 734 748 935 1468 1835 1870 2791 3670 3740 4037 5582 6239 7340 8074 11164 12478 13955 16148 20185 24956 27910 30701 31195 40370 47447 55820 61402 62390 68629 80740 94894 122804 124780 137258 153505 189788 237235 274516 307010 343145 474470 521917 614020 686290 948940 1024297 1043834 1372580 2048594 2087668 2609585 4097188 5121485 5219170 10242970 10438340 11267267 17413049 20485940 22534534 34826098 45069068 56336335 69652196 87065245 112672670 174130490 191543539 225345340 348260980 383087078 766174156 957717695 1915435390 3830870780