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3426720 = 253511259
BaseRepresentation
bin1101000100100110100000
320110002120120
431010212200
51334123340
6201240240
741061303
oct15044640
96402516
103426720
111a30600
121193080
1392c95b
14652b3a
1547a4d0
hex3449a0

3426720 has 144 divisors (see below), whose sum is σ = 12065760. Its totient is φ = 816640.

The previous prime is 3426697. The next prime is 3426721. The reversal of 3426720 is 276243.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3426721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58051 + ... + 58109.

It is an arithmetic number, because the mean of its divisors is an integer number (83790).

Almost surely, 23426720 is an apocalyptic number.

3426720 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 3426720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032880).

3426720 is an abundant number, since it is smaller than the sum of its proper divisors (8639040).

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

3426720 is a wasteful number, since it uses less digits than its factorization.

3426720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 3426720 is about 1851.1401891807. The cubic root of 3426720 is about 150.7623412309.

The spelling of 3426720 in words is "three million, four hundred twenty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 59 60 66 80 88 96 110 118 120 121 132 160 165 176 177 220 236 240 242 264 295 330 352 354 363 440 472 480 484 528 590 605 649 660 708 726 880 885 944 968 1056 1180 1210 1298 1320 1416 1452 1760 1770 1815 1888 1936 1947 2360 2420 2596 2640 2832 2904 3245 3540 3630 3872 3894 4720 4840 5192 5280 5664 5808 6490 7080 7139 7260 7788 9440 9680 9735 10384 11616 12980 14160 14278 14520 15576 19360 19470 20768 21417 25960 28320 28556 29040 31152 35695 38940 42834 51920 57112 58080 62304 71390 77880 85668 103840 107085 114224 142780 155760 171336 214170 228448 285560 311520 342672 428340 571120 685344 856680 1142240 1713360 3426720