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3421240240 = 2451131312421
BaseRepresentation
bin1100101111101011…
…1111101110110000
322211102200000022111
43023322333232300
524001314141430
61323253015104
7150532030225
oct31372775660
98742600274
103421240240
1114a6223480
127b5924494
13426a51912
1424653994c
15150550c2a
hexcbebfbb0

3421240240 has 80 divisors (see below), whose sum is σ = 8705933856. Its totient is φ = 1240012800.

The previous prime is 3421240219. The next prime is 3421240241. The reversal of 3421240240 is 420421243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (3421240241) 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, 269230 + ... + 281650.

Almost surely, 23421240240 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 3421240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4352966928).

3421240240 is an abundant number, since it is smaller than the sum of its proper divisors (5284693616).

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

3421240240 is a wasteful number, since it uses less digits than its factorization.

3421240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12758 (or 12752 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 3421240240 is about 58491.3689359379. The cubic root of 3421240240 is about 1506.8193565288.

Adding to 3421240240 its reverse (420421243), we get a palindrome (3841661483).

The spelling of 3421240240 in words is "three billion, four hundred twenty-one million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 313 440 626 880 1252 1565 2504 3130 3443 5008 6260 6886 12421 12520 13772 17215 24842 25040 27544 34430 49684 55088 62105 68860 99368 124210 136631 137720 198736 248420 273262 275440 496840 546524 683155 993680 1093048 1366310 2186096 2732620 3887773 5465240 7775546 10930480 15551092 19438865 31102184 38877730 42765503 62204368 77755460 85531006 155510920 171062012 213827515 311021840 342124024 427655030 684248048 855310060 1710620120 3421240240