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3433980 = 223511343
BaseRepresentation
bin1101000110010111111100
320110110112110
431012113330
51334341410
6201334020
741121414
oct15062774
96413473
103433980
111a36000
121197310
13933054
14655644
1547c720
hex3465fc

3433980 has 96 divisors (see below), whose sum is σ = 10821888. Its totient is φ = 813120.

The previous prime is 3433979. The next prime is 3434047. The reversal of 3433980 is 893343.

It is a happy number.

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

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, 79839 + ... + 79881.

It is an arithmetic number, because the mean of its divisors is an integer number (112728).

Almost surely, 23433980 is an apocalyptic number.

3433980 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 3433980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5410944).

3433980 is an abundant number, since it is smaller than the sum of its proper divisors (7387908).

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

3433980 is a wasteful number, since it uses less digits than its factorization.

3433980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3433980 is about 1853.1001052291. The cubic root of 3433980 is about 150.8687367082.

The spelling of 3433980 in words is "three million, four hundred thirty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 43 44 55 60 66 86 110 121 129 132 165 172 215 220 242 258 330 363 430 473 484 516 605 645 660 726 860 946 1210 1290 1331 1419 1452 1815 1892 2365 2420 2580 2662 2838 3630 3993 4730 5203 5324 5676 6655 7095 7260 7986 9460 10406 13310 14190 15609 15972 19965 20812 26015 26620 28380 31218 39930 52030 57233 62436 78045 79860 104060 114466 156090 171699 228932 286165 312180 343398 572330 686796 858495 1144660 1716990 3433980