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3440200434 = 2311833791657
BaseRepresentation
bin1100110100001101…
…0100101011110010
322212202100021210220
43031003110223302
524021142403214
61325211233510
7151152135606
oct31503245362
98782307726
103440200434
1115059a3560
12800148896
1342a95c978
14248c73506
151520489a9
hexcd0d4af2

3440200434 has 64 divisors (see below), whose sum is σ = 7620963840. Its totient is φ = 1026587520.

The previous prime is 3440200411. The next prime is 3440200451. The reversal of 3440200434 is 4340020443.

It is a happy number.

3440200434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2075334 + ... + 2076990.

It is an arithmetic number, because the mean of its divisors is an integer number (119077560).

Almost surely, 23440200434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3440200434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810481920).

3440200434 is an abundant number, since it is smaller than the sum of its proper divisors (4180763406).

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

3440200434 is a wasteful number, since it uses less digits than its factorization.

3440200434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135.

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3440200434 is about 58653.2218552400. The cubic root of 3440200434 is about 1509.5977809747.

Adding to 3440200434 its reverse (4340020443), we get a palindrome (7780220877).

Subtracting 3440200434 from its reverse (4340020443), we obtain a square (899820009 = 299972).

The spelling of 3440200434 in words is "three billion, four hundred forty million, two hundred thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 83 166 249 379 498 758 913 1137 1657 1826 2274 2739 3314 4169 4971 5478 8338 9942 12507 18227 25014 31457 36454 54681 62914 94371 109362 137531 188742 275062 346027 412593 628003 692054 825186 1038081 1256006 1512841 1884009 2076162 3025682 3768018 4538523 6908033 9077046 13816066 20724099 41448198 52124249 104248498 156372747 312745494 573366739 1146733478 1720100217 3440200434