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3714048 = 210321331
BaseRepresentation
bin1110001010110000000000
320222200201100
432022300000
51422322143
6211334400
743366062
oct16126000
96880640
103714048
112107468
1212b1400
13a00680
146c9732
154d56d3
hex38ac00

3714048 has 132 divisors (see below), whose sum is σ = 11921728. Its totient is φ = 1105920.

The previous prime is 3714043. The next prime is 3714049. The reversal of 3714048 is 8404173.

It is not an unprimeable number, because it can be changed into a prime (3714043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119793 + ... + 119823.

Almost surely, 23714048 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 3714048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960864).

3714048 is an abundant number, since it is smaller than the sum of its proper divisors (8207680).

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

3714048 is a wasteful number, since it uses less digits than its factorization.

3714048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 49 counting only the distinct ones).

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

The square root of 3714048 is about 1927.1865503889. The cubic root of 3714048 is about 154.8635358042.

The spelling of 3714048 in words is "three million, seven hundred fourteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 62 64 72 78 93 96 104 117 124 128 144 156 186 192 208 234 248 256 279 288 312 372 384 403 416 468 496 512 558 576 624 744 768 806 832 936 992 1024 1116 1152 1209 1248 1488 1536 1612 1664 1872 1984 2232 2304 2418 2496 2976 3072 3224 3328 3627 3744 3968 4464 4608 4836 4992 5952 6448 6656 7254 7488 7936 8928 9216 9672 9984 11904 12896 13312 14508 14976 15872 17856 19344 19968 23808 25792 29016 29952 31744 35712 38688 39936 47616 51584 58032 59904 71424 77376 95232 103168 116064 119808 142848 154752 206336 232128 285696 309504 412672 464256 619008 928512 1238016 1857024 3714048