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3425280 = 21035223
BaseRepresentation
bin1101000100010000000000
320110000121020
431010100000
51334102110
6201225440
741054145
oct15042000
96400536
103425280
111a2a511
121192280
1392c0c1
146523cc
15479d70
hex344400

3425280 has 88 divisors (see below), whose sum is σ = 11004672. Its totient is φ = 909312.

The previous prime is 3425273. The next prime is 3425281. The reversal of 3425280 is 825243.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3425280.

It is not an unprimeable number, because it can be changed into a prime (3425281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15249 + ... + 15471.

Almost surely, 23425280 is an apocalyptic number.

3425280 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 3425280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5502336).

3425280 is an abundant number, since it is smaller than the sum of its proper divisors (7579392).

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

3425280 is a wasteful number, since it uses less digits than its factorization.

3425280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3425280 is about 1850.7511988379. The cubic root of 3425280 is about 150.7412201405.

The spelling of 3425280 in words is "three million, four hundred twenty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 223 240 256 320 384 446 480 512 640 669 768 892 960 1024 1115 1280 1338 1536 1784 1920 2230 2560 2676 3072 3345 3568 3840 4460 5120 5352 6690 7136 7680 8920 10704 13380 14272 15360 17840 21408 26760 28544 35680 42816 53520 57088 71360 85632 107040 114176 142720 171264 214080 228352 285440 342528 428160 570880 685056 856320 1141760 1712640 3425280