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2340480 = 27352353
BaseRepresentation
bin1000111011011010000000
311101220112110
420323122000
51044343410
6122055320
725615362
oct10733200
94356473
102340480
11135948a
1294a540
1363c3cc
1444cd32
15313720
hex23b680

2340480 has 128 divisors (see below), whose sum is σ = 7931520. Its totient is φ = 585728.

The previous prime is 2340479. The next prime is 2340487. The reversal of 2340480 is 840432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44134 + ... + 44186.

It is an arithmetic number, because the mean of its divisors is an integer number (61965).

22340480 is an apocalyptic number.

2340480 is a gapful number since it is divisible by the number (20) 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 2340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965760).

2340480 is an abundant number, since it is smaller than the sum of its proper divisors (5591040).

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

2340480 is a wasteful number, since it uses less digits than its factorization.

2340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2340480 is about 1529.8627389410. The cubic root of 2340480 is about 132.7705165108.

The spelling of 2340480 in words is "two million, three hundred forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 53 60 64 69 80 92 96 106 115 120 128 138 159 160 184 192 212 230 240 265 276 318 320 345 368 384 424 460 480 530 552 636 640 690 736 795 848 920 960 1060 1104 1219 1272 1380 1472 1590 1696 1840 1920 2120 2208 2438 2544 2760 2944 3180 3392 3657 3680 4240 4416 4876 5088 5520 6095 6360 6784 7314 7360 8480 8832 9752 10176 11040 12190 12720 14628 14720 16960 18285 19504 20352 22080 24380 25440 29256 33920 36570 39008 44160 48760 50880 58512 73140 78016 97520 101760 117024 146280 156032 195040 234048 292560 390080 468096 585120 780160 1170240 2340480