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331344024 = 2331129113383
BaseRepresentation
bin10011101111111…
…110100010011000
3212002111000112220
4103233332202120
51134311002044
652513504040
711132243364
oct2357764230
9762430486
10331344024
11160042740
1292b72020
135385376b
14320122a4
151e151019
hex13bfe898

331344024 has 128 divisors (see below), whose sum is σ = 945561600. Its totient is φ = 95836160.

The previous prime is 331344023. The next prime is 331344029. The reversal of 331344024 is 420443133.

331344024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3313440243 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 331343985 and 331344003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331344023) by changing a digit.

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, 864937 + ... + 865319.

It is an arithmetic number, because the mean of its divisors is an integer number (7387200).

Almost surely, 2331344024 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 331344024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472780800).

331344024 is an abundant number, since it is smaller than the sum of its proper divisors (614217576).

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

331344024 is a wasteful number, since it uses less digits than its factorization.

331344024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 331344024 is about 18202.8575778640. The cubic root of 331344024 is about 691.9792112881.

Adding to 331344024 its reverse (420443133), we get a palindrome (751787157).

The spelling of 331344024 in words is "three hundred thirty-one million, three hundred forty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 113 116 132 174 226 232 264 319 339 348 383 452 638 678 696 766 904 957 1149 1243 1276 1356 1532 1914 2298 2486 2552 2712 3064 3277 3729 3828 4213 4596 4972 6554 7458 7656 8426 9192 9831 9944 11107 12639 13108 14916 16852 19662 22214 25278 26216 29832 33321 33704 36047 39324 43279 44428 50556 66642 72094 78648 86558 88856 101112 108141 122177 129837 133284 144188 173116 216282 244354 259674 266568 288376 346232 366531 432564 476069 488708 519348 733062 865128 952138 977416 1038696 1255091 1428207 1466124 1904276 2510182 2856414 2932248 3765273 3808552 5020364 5712828 7530546 10040728 11425656 13806001 15061092 27612002 30122184 41418003 55224004 82836006 110448008 165672012 331344024