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3749340 = 2235779113
BaseRepresentation
bin1110010011010111011100
321001111010110
432103113130
51424434330
6212210020
743604010
oct16232734
97044113
103749340
112130a31
121309910
13a1375a
146d8540
154e0db0
hex3935dc

3749340 has 96 divisors (see below), whose sum is σ = 12257280. Its totient is φ = 838656.

The previous prime is 3749329. The next prime is 3749363. The reversal of 3749340 is 439473.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3749298 and 3749307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33124 + ... + 33236.

It is an arithmetic number, because the mean of its divisors is an integer number (127680).

Almost surely, 23749340 is an apocalyptic number.

3749340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3749340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128640).

3749340 is an abundant number, since it is smaller than the sum of its proper divisors (8507940).

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

3749340 is a wasteful number, since it uses less digits than its factorization.

3749340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 3749340 is about 1936.3212543377. The cubic root of 3749340 is about 155.3525102142.

The spelling of 3749340 in words is "three million, seven hundred forty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 79 84 105 113 140 158 210 226 237 316 339 395 420 452 474 553 565 678 790 791 948 1106 1130 1185 1356 1580 1582 1659 1695 2212 2260 2370 2373 2765 3164 3318 3390 3955 4740 4746 5530 6636 6780 7910 8295 8927 9492 11060 11865 15820 16590 17854 23730 26781 33180 35708 44635 47460 53562 62489 89270 107124 124978 133905 178540 187467 249956 267810 312445 374934 535620 624890 749868 937335 1249780 1874670 3749340