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3348520344 = 2333131319103
BaseRepresentation
bin1100011110010110…
…0101110110011000
322122100211110101000
43013211211312120
523324210122334
61312134225000
7145656644661
oct30745456630
98570743330
103348520344
111469174994
127954b5160
134149700b0
1423aa0a368
15148e89299
hexc7965d98

3348520344 has 128 divisors (see below), whose sum is σ = 10094515200. Its totient is φ = 1022336640.

The previous prime is 3348520333. The next prime is 3348520369. The reversal of 3348520344 is 4430258433.

3348520344 is a `hidden beast` number, since 334 + 85 + 203 + 44 = 666.

It is a super-2 number, since 2×33485203442 = 22425176988363756672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3348520299 and 3348520308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363297 + ... + 372399.

It is an arithmetic number, because the mean of its divisors is an integer number (78863400).

Almost surely, 23348520344 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 3348520344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5047257600).

3348520344 is an abundant number, since it is smaller than the sum of its proper divisors (6745994856).

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

3348520344 is a wasteful number, since it uses less digits than its factorization.

3348520344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9262 (or 9252 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 3348520344 is about 57866.4008212019. The cubic root of 3348520344 is about 1496.0667835534.

Adding to 3348520344 its reverse (4430258433), we get a palindrome (7778778777).

The spelling of 3348520344 in words is "three billion, three hundred forty-eight million, five hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 131 156 216 234 262 312 351 393 468 524 702 786 936 1048 1179 1404 1572 1703 2358 2808 3144 3406 3537 4716 5109 6812 7074 9103 9432 10218 13624 14148 15327 18206 20436 27309 28296 30654 36412 40872 45981 54618 61308 72824 81927 91962 109236 118339 122616 163854 183924 218472 236678 245781 327708 355017 367848 473356 491562 655416 710034 946712 983124 1065051 1192493 1420068 1966248 2130102 2384986 2840136 3195153 3577479 4260204 4769972 6390306 7154958 8520408 9539944 10732437 12780612 14309916 15502409 21464874 25561224 28619832 31004818 32197311 42929748 46507227 62009636 64394622 85859496 93014454 124019272 128789244 139521681 186028908 257578488 279043362 372057816 418565043 558086724 837130086 1116173448 1674260172 3348520344