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3441373782 = 2372111736151
BaseRepresentation
bin1100110100011111…
…0011001001010110
322212211112220100020
43031013303021112
524021442430112
61325252330010
7151165123500
oct31507631126
98784486306
103441373782
111506625070
12800613906
1342ac80a62
1424909ad70
151521cb48c
hexcd1f3256

3441373782 has 96 divisors (see below), whose sum is σ = 8786237184. Its totient is φ = 888552000.

The previous prime is 3441373777. The next prime is 3441373783. The reversal of 3441373782 is 2873731443.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3441373783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 556407 + ... + 562557.

It is an arithmetic number, because the mean of its divisors is an integer number (91523304).

Almost surely, 23441373782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3441373782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4393118592).

3441373782 is an abundant number, since it is smaller than the sum of its proper divisors (5344863402).

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

3441373782 is a wasteful number, since it uses less digits than its factorization.

3441373782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6354 (or 6347 counting only the distinct ones).

The product of its digits is 338688, while the sum is 42.

The square root of 3441373782 is about 58663.2234197883. The cubic root of 3441373782 is about 1509.7693874680.

The spelling of 3441373782 in words is "three billion, four hundred forty-one million, three hundred seventy-three thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 173 231 294 346 462 519 539 1038 1078 1211 1617 1903 2422 3234 3633 3806 5709 6151 7266 8477 11418 12302 13321 16954 18453 25431 26642 36906 39963 43057 50862 67661 79926 86114 93247 129171 135322 186494 202983 258342 279741 301399 405966 473627 559482 602798 904197 947254 1064123 1420881 1808394 2128246 2841762 3192369 3315389 6384738 6630778 7448861 9946167 11705353 14897722 19892334 22346583 23410706 35116059 44693166 52142027 70232118 81937471 104284054 156426081 163874942 245812413 312852162 491624826 573562297 1147124594 1720686891 3441373782