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4346048344 = 2311292337309
BaseRepresentation
bin1000000110000101…
…10110111101011000
3102012212212010112111
410003002312331120
532400042021334
61555130522104
7212461541611
oct40302667530
912185763474
104346048344
11193025a4a0
12a13596334
13543523051
142d32b2c08
151a682d064
hex1030b6f58

4346048344 has 64 divisors (see below), whose sum is σ = 9236916000. Its totient is φ = 1898910720.

The previous prime is 4346048341. The next prime is 4346048347. The reversal of 4346048344 is 4438406434.

It is an interprime number because it is at equal distance from previous prime (4346048341) and next prime (4346048347).

It is a junction number, because it is equal to n+sod(n) for n = 4346048297 and 4346048306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4346048341) 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, 590962 + ... + 598270.

Almost surely, 24346048344 is an apocalyptic number.

4346048344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4346048344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4618458000).

4346048344 is an abundant number, since it is smaller than the sum of its proper divisors (4890867656).

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

4346048344 is a wasteful number, since it uses less digits than its factorization.

4346048344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7588 (or 7584 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 40.

The square root of 4346048344 is about 65924.5655579163. The cubic root of 4346048344 is about 1631.9174424388.

The spelling of 4346048344 in words is "four billion, three hundred forty-six million, forty-eight thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 233 319 466 638 932 1276 1864 2552 2563 5126 6757 7309 10252 13514 14618 20504 27028 29236 54056 58472 74327 80399 148654 160798 211961 297308 321596 423922 594616 643192 847844 1695688 1702997 2331571 3405994 4663142 6811988 9326284 13623976 18652568 18732967 37465934 49386913 74931868 98773826 149863736 197547652 395095304 543256043 1086512086 2173024172 4346048344