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3401874 = 232731929
BaseRepresentation
bin1100111110100010010010
320101211111100
430332202102
51332324444
6200525230
740626000
oct14764222
96354440
103401874
111a13973
121180816
13921558
14647a70
15472e69
hex33e892

3401874 has 96 divisors (see below), whose sum is σ = 9360000. Its totient is φ = 889056.

The previous prime is 3401869. The next prime is 3401899. The reversal of 3401874 is 4781043.

3401874 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117292 + ... + 117320.

It is an arithmetic number, because the mean of its divisors is an integer number (97500).

Almost surely, 23401874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4680000).

3401874 is an abundant number, since it is smaller than the sum of its proper divisors (5958126).

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

3401874 is a wasteful number, since it uses less digits than its factorization.

3401874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 3401874 is about 1844.4169810539. The cubic root of 3401874 is about 150.3970812490.

The spelling of 3401874 in words is "three million, four hundred one thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 29 38 42 49 57 58 63 87 98 114 126 133 147 171 174 203 261 266 294 342 343 399 406 441 522 551 609 686 798 882 931 1029 1102 1197 1218 1421 1653 1827 1862 2058 2394 2793 2842 3087 3306 3654 3857 4263 4959 5586 6174 6517 7714 8379 8526 9918 9947 11571 12789 13034 16758 19551 19894 23142 25578 26999 29841 34713 39102 53998 58653 59682 69426 80997 89523 117306 161994 179046 188993 242991 377986 485982 566979 1133958 1700937 3401874