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34243433312 = 2511281346201
BaseRepresentation
bin11111111001000100…
…010101001101100000
310021101111001122112212
4133321010111031200
51030112304331222
623421535341252
72321404244354
oct377104251540
9107344048485
1034243433312
1113582586310
126778081828
1332c956a29a
14192bc49464
15d564376e2
hex7f9115360

34243433312 has 48 divisors (see below), whose sum is σ = 73807496784. Its totient is φ = 15509760000.

The previous prime is 34243433303. The next prime is 34243433347. The reversal of 34243433312 is 21333434243.

It is a super-2 number, since 2×342434333122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 74189 + ... + 272012.

It is an arithmetic number, because the mean of its divisors is an integer number (1537656183).

Almost surely, 234243433312 is an apocalyptic number.

34243433312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34243433312 is an abundant number, since it is smaller than the sum of its proper divisors (39564063472).

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

34243433312 is a wasteful number, since it uses less digits than its factorization.

34243433312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346503 (or 346495 counting only the distinct ones).

The product of its digits is 62208, while the sum is 32.

Adding to 34243433312 its reverse (21333434243), we get a palindrome (55576867555).

The spelling of 34243433312 in words is "thirty-four billion, two hundred forty-three million, four hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 281 352 562 1124 2248 3091 4496 6182 8992 12364 24728 49456 98912 346201 692402 1384804 2769608 3808211 5539216 7616422 11078432 15232844 30465688 60931376 97282481 121862752 194564962 389129924 778259848 1070107291 1556519696 2140214582 3113039392 4280429164 8560858328 17121716656 34243433312