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1343434456 = 237133076011
BaseRepresentation
bin101000000010011…
…0010111011011000
310110121220112121201
41100010302323120
510222404400311
6341150243544
745202001350
oct12004627330
93417815551
101343434456
1162a374211
12315ab65b4
13185434b40
14ca5c9b60
157ce1e9c1
hex50132ed8

1343434456 has 64 divisors (see below), whose sum is σ = 3110849280. Its totient is φ = 529649280.

The previous prime is 1343434453. The next prime is 1343434457. The reversal of 1343434456 is 6544343431.

It is a super-2 number, since 2×13434344562 = 3609632275136031872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343434453) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 220491 + ... + 226501.

It is an arithmetic number, because the mean of its divisors is an integer number (48607020).

Almost surely, 21343434456 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 1343434456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555424640).

1343434456 is an abundant number, since it is smaller than the sum of its proper divisors (1767414824).

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

1343434456 is a wasteful number, since it uses less digits than its factorization.

1343434456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6344 (or 6340 counting only the distinct ones).

The product of its digits is 207360, while the sum is 37.

The square root of 1343434456 is about 36652.8915094021. The cubic root of 1343434456 is about 1103.4148578621.

Adding to 1343434456 its reverse (6544343431), we get a palindrome (7887777887).

The spelling of 1343434456 in words is "one billion, three hundred forty-three million, four hundred thirty-four thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 307 364 614 728 1228 2149 2456 3991 4298 6011 7982 8596 12022 15964 17192 24044 27937 31928 42077 48088 55874 78143 84154 111748 156286 168308 223496 312572 336616 547001 625144 1094002 1845377 2188004 3690754 4376008 7381508 12917639 14763016 23989901 25835278 47979802 51670556 95959604 103341112 167929307 191919208 335858614 671717228 1343434456