Search a number
-
+
3441101010 = 235377342467
BaseRepresentation
bin1100110100011011…
…0000100011010010
322212211001001011120
43031012300203102
524021410213020
61325242423110
7151162606314
oct31506604322
98784031146
103441101010
111506459136
12800501a96
1342abb6859
142490297b4
15152175740
hexcd1b08d2

3441101010 has 64 divisors (see below), whose sum is σ = 8598241152. Its totient is φ = 880574976.

The previous prime is 3441101009. The next prime is 3441101011. The reversal of 3441101010 is 101011443.

It is an interprime number because it is at equal distance from previous prime (3441101009) and next prime (3441101011).

It is a super-2 number, since 2×34411010102 = 23682352322046040200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3441101011) 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, 59797 + ... + 102263.

It is an arithmetic number, because the mean of its divisors is an integer number (134347518).

Almost surely, 23441101010 is an apocalyptic number.

3441101010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3441101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4299120576).

3441101010 is an abundant number, since it is smaller than the sum of its proper divisors (5157140142).

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

3441101010 is a wasteful number, since it uses less digits than its factorization.

3441101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42587.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 3441101010 is about 58660.8984759013. The cubic root of 3441101010 is about 1509.7294970325.

Adding to 3441101010 its reverse (101011443), we get a palindrome (3542112453).

The spelling of 3441101010 in words is "three billion, four hundred forty-one million, one hundred one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 73 74 111 146 185 219 222 365 370 438 555 730 1095 1110 2190 2701 5402 8103 13505 16206 27010 40515 42467 81030 84934 127401 212335 254802 424670 637005 1274010 1571279 3100091 3142558 4713837 6200182 7856395 9300273 9427674 15500455 15712790 18600546 23569185 31000910 46501365 47138370 93002730 114703367 229406734 344110101 573516835 688220202 1147033670 1720550505 3441101010