Search a number
-
+
3441942672 = 243721786083
BaseRepresentation
bin1100110100100111…
…1110000010010000
322212212121210201020
43031021332002100
524022114131142
61325312435440
7151203013200
oct31511760220
98785553636
103441942672
111506983523
12800848b80
1342b11c98c
142491a8400
1515228ecec
hexcd27e090

3441942672 has 120 divisors (see below), whose sum is σ = 10951950816. Its totient is φ = 925553664.

The previous prime is 3441942671. The next prime is 3441942677. The reversal of 3441942672 is 2762491443.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3441942671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3058 + ... + 83025.

Almost surely, 23441942672 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 3441942672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5475975408).

3441942672 is an abundant number, since it is smaller than the sum of its proper divisors (7510008144).

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

3441942672 is a wasteful number, since it uses less digits than its factorization.

3441942672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86125 (or 86112 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 3441942672 is about 58668.0719983195. The cubic root of 3441942672 is about 1509.8525756982.

The spelling of 3441942672 in words is "three billion, four hundred forty-one million, nine hundred forty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 49 51 56 68 84 98 102 112 119 136 147 168 196 204 238 272 294 336 357 392 408 476 588 714 784 816 833 952 1176 1428 1666 1904 2352 2499 2856 3332 4998 5712 6664 9996 13328 19992 39984 86083 172166 258249 344332 516498 602581 688664 1032996 1205162 1377328 1463411 1807743 2065992 2410324 2926822 3615486 4131984 4218067 4390233 4820648 5853644 7230972 8436134 8780466 9641296 10243877 11707288 12654201 14461944 16872268 17560932 20487754 23414576 25308402 28923888 30731631 33744536 35121864 40975508 50616804 61463262 67489072 70243728 71707139 81951016 101233608 122926524 143414278 163902032 202467216 215121417 245853048 286828556 430242834 491706096 573657112 860485668 1147314224 1720971336 3441942672