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344423211132 = 22371113193740787
BaseRepresentation
bin1010000001100010011…
…10010010000001111100
31012221000110000222020010
411000301032102001330
521120334320224012
6422120440423220
733612061663410
oct5006116220174
91187013028203
10344423211132
11123083a18330
1256902777b10
132662c3b0060
1412954d4ad40
158e5c666c3c
hex503139207c

344423211132 has 384 divisors, whose sum is σ = 1166549852160. Its totient is φ = 76116464640.

The previous prime is 344423211131. The next prime is 344423211133. The reversal of 344423211132 is 231112324443.

It is an interprime number because it is at equal distance from previous prime (344423211131) and next prime (344423211133).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 344423211132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344423211131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8424043 + ... + 8464829.

It is an arithmetic number, because the mean of its divisors is an integer number (3037890240).

Almost surely, 2344423211132 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 344423211132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583274926080).

344423211132 is an abundant number, since it is smaller than the sum of its proper divisors (822126641028).

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

344423211132 is a wasteful number, since it uses less digits than its factorization.

344423211132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40881 (or 40879 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 344423211132 its reverse (231112324443), we get a palindrome (575535535575).

It can be divided in two parts, 344423 and 211132, that added together give a palindrome (555555).

The spelling of 344423211132 in words is "three hundred forty-four billion, four hundred twenty-three million, two hundred eleven thousand, one hundred thirty-two".