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3743064 = 2333133143
BaseRepresentation
bin1110010001110101011000
321001011112000
432101311120
51424234224
6212121000
743546503
oct16216530
97034460
103743064
112127246
121306160
13a10940
146d613a
154de0c9
hex391d58

3743064 has 128 divisors (see below), whose sum is σ = 11827200. Its totient is φ = 1088640.

The previous prime is 3743053. The next prime is 3743081. The reversal of 3743064 is 4603473.

3743064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 87027 + ... + 87069.

It is an arithmetic number, because the mean of its divisors is an integer number (92400).

Almost surely, 23743064 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 3743064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5913600).

3743064 is an abundant number, since it is smaller than the sum of its proper divisors (8084136).

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

3743064 is a wasteful number, since it uses less digits than its factorization.

3743064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3743064 is about 1934.6999767406. The cubic root of 3743064 is about 155.2657805612.

The spelling of 3743064 in words is "three million, seven hundred forty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 31 36 39 43 52 54 62 72 78 86 93 104 108 117 124 129 156 172 186 216 234 248 258 279 312 344 351 372 387 403 468 516 558 559 702 744 774 806 837 936 1032 1116 1118 1161 1209 1333 1404 1548 1612 1674 1677 2232 2236 2322 2418 2666 2808 3096 3224 3348 3354 3627 3999 4472 4644 4836 5031 5332 6696 6708 7254 7998 9288 9672 10062 10664 10881 11997 13416 14508 15093 15996 17329 20124 21762 23994 29016 30186 31992 34658 35991 40248 43524 47988 51987 60372 69316 71982 87048 95976 103974 120744 138632 143964 155961 207948 287928 311922 415896 467883 623844 935766 1247688 1871532 3743064