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3344024000430 = 2325431097927421
BaseRepresentation
bin110000101010010111010…
…111001101011110101110
3102211200111210010020112200
4300222113113031132232
5414242030121003210
611040120131442330
7463412014004061
oct60522727153656
912750453106480
103344024000430
11107a213408103
12460116a563a6
131b34562b69b9
14b7bccc068d8
155bebbd010c0
hex30a975cd7ae

3344024000430 has 96 divisors (see below), whose sum is σ = 8978281060320. Its totient is φ = 863010650880.

The previous prime is 3344024000413. The next prime is 3344024000531. The reversal of 3344024000430 is 340004204433.

It is a super-2 number, since 2×33440240004302 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3344024000394 and 3344024000403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3541881 + ... + 4385540.

It is an arithmetic number, because the mean of its divisors is an integer number (93523761045).

Almost surely, 23344024000430 is an apocalyptic number.

3344024000430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3344024000430 is an abundant number, since it is smaller than the sum of its proper divisors (5634257059890).

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

3344024000430 is a wasteful number, since it uses less digits than its factorization.

3344024000430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7927586 (or 7927583 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 3344024000430 its reverse (340004204433), we get a palindrome (3684028204863).

The spelling of 3344024000430 in words is "three trillion, three hundred forty-four billion, twenty-four million, four hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 109 129 215 218 258 327 387 430 545 645 654 774 981 1090 1290 1635 1935 1962 3270 3870 4687 4905 9374 9810 14061 23435 28122 42183 46870 70305 84366 140610 210915 421830 7927421 15854842 23782263 39637105 47564526 71346789 79274210 118911315 142693578 237822630 340879103 356733945 681758206 713467890 864088889 1022637309 1704395515 1728177778 2045274618 2592266667 3067911927 3408791030 4320444445 5113186545 5184533334 6135823854 7776800001 8640888890 10226373090 12961333335 15339559635 15553600002 25922666670 30679119270 37155822227 38884000005 74311644454 77768000010 111467466681 185779111135 222934933362 334402400043 371558222270 557337333405 668804800086 1114674666810 1672012000215 3344024000430