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2434230324344 = 2371319131355931
BaseRepresentation
bin100011011011000011011…
…011110000110001111000
322121201011200210212101102
4203123003123300301320
5304340300430334334
65102134151510532
7340603332235040
oct43330333606170
98551150725342
102434230324344
11859395615535
1233392a988448
131487157cccb0
1485b62c48720
15434beabe67e
hex236c36f0c78

2434230324344 has 128 divisors (see below), whose sum is σ = 5665007738880. Its totient is φ = 954872755200.

The previous prime is 2434230324307. The next prime is 2434230324353. The reversal of 2434230324344 is 4434230324342.

2434230324344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2434230324298 and 2434230324307.

It is a congruent number.

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, 43494059 + ... + 43549989.

It is an arithmetic number, because the mean of its divisors is an integer number (44257872960).

Almost surely, 22434230324344 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 2434230324344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832503869440).

2434230324344 is an abundant number, since it is smaller than the sum of its proper divisors (3230777414536).

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

2434230324344 is a wasteful number, since it uses less digits than its factorization.

2434230324344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56461 (or 56457 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 38.

Adding to 2434230324344 its reverse (4434230324342), we get a palindrome (6868460648686).

The spelling of 2434230324344 in words is "two trillion, four hundred thirty-four billion, two hundred thirty million, three hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 191 313 364 382 626 728 764 1252 1337 1528 2191 2483 2504 2674 4069 4382 4966 5348 8138 8764 9932 10696 16276 17381 17528 19864 28483 32552 34762 55931 56966 59783 69524 111862 113932 119566 139048 223724 227864 239132 391517 418481 447448 478264 727103 777179 783034 836962 1454206 1554358 1566068 1673924 2908412 3108716 3132136 3347848 5089721 5440253 5816824 6217432 10179442 10682821 10880506 17506403 20358884 21365642 21761012 35012806 40717768 42731284 43522024 70025612 74779747 85462568 122544821 138876673 140051224 149559494 227583239 245089642 277753346 299118988 455166478 490179284 555506692 598237976 910332956 972136711 980358568 1111013384 1593082673 1820665912 1944273422 3186165346 3343722973 3888546844 6372330692 6687445946 7777093688 12744661384 13374891892 23406060811 26749783784 43468398649 46812121622 86936797298 93624243244 173873594596 187248486488 304278790543 347747189192 608557581086 1217115162172 2434230324344