Search a number
-
+
3420727632 = 243372161599
BaseRepresentation
bin1100101111100100…
…0010100101010000
322211101200222011000
43023321002211100
524001201241012
61323234022000
7150524463600
oct31371024520
98741628130
103420727632
1114a5a03333
127b5717900
134269024ba
14246444c00
1515049dddc
hexcbe42950

3420727632 has 120 divisors (see below), whose sum is σ = 11421888000. Its totient is φ = 977344704.

The previous prime is 3420727627. The next prime is 3420727637. The reversal of 3420727632 is 2367270243.

It is an interprime number because it is at equal distance from previous prime (3420727627) and next prime (3420727637).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420727637) 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, 59632 + ... + 101967.

It is an arithmetic number, because the mean of its divisors is an integer number (95182400).

Almost surely, 23420727632 is an apocalyptic number.

It is an amenable number.

3420727632 is an abundant number, since it is smaller than the sum of its proper divisors (8001160368).

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

3420727632 is a wasteful number, since it uses less digits than its factorization.

3420727632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161630 (or 161611 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 3420727632 is about 58486.9868603265. The cubic root of 3420727632 is about 1506.7440966637.

Adding to 3420727632 its reverse (2367270243), we get a palindrome (5787997875).

The spelling of 3420727632 in words is "three billion, four hundred twenty million, seven hundred twenty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 7056 10584 21168 161599 323198 484797 646396 969594 1131193 1292792 1454391 1939188 2262386 2585584 2908782 3393579 3878376 4363173 4524772 5817564 6787158 7756752 7918351 8726346 9049544 10180737 11635128 13574316 15836702 17452692 18099088 20361474 23270256 23755053 27148632 30542211 31673404 34905384 40722948 47510106 54297264 61084422 63346808 69810768 71265159 81445896 95020212 122168844 126693616 142530318 162891792 190040424 213795477 244337688 285060636 380080848 427590954 488675376 570121272 855181908 1140242544 1710363816 3420727632