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34243143232 = 267110770429
BaseRepresentation
bin11111111001000011…
…001110011001000000
310021101110111220122011
4133321003032121000
51030112221040412
623421525222304
72321401625554
oct377103163100
9107343456564
1034243143232
11135823a8381
126777b61994
1332c949823c
14192bbb1864
15d563cb7a7
hex7f90ce640

34243143232 has 56 divisors (see below), whose sum is σ = 69553287360. Its totient is φ = 16722424320.

The previous prime is 34243143229. The next prime is 34243143271. The reversal of 34243143232 is 23234134243.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34243143194 and 34243143203.

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, 450994 + ... + 521422.

Almost surely, 234243143232 is an apocalyptic number.

34243143232 is a gapful number since it is divisible by the number (32) 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 34243143232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34776643680).

34243143232 is an abundant number, since it is smaller than the sum of its proper divisors (35310144128).

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

34243143232 is a wasteful number, since it uses less digits than its factorization.

34243143232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70619 (or 70609 counting only the distinct ones).

The product of its digits is 41472, while the sum is 31.

Adding to 34243143232 its reverse (23234134243), we get a palindrome (57477277475).

The spelling of 34243143232 in words is "thirty-four billion, two hundred forty-three million, one hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 71 107 142 214 284 428 568 856 1136 1712 2272 3424 4544 6848 7597 15194 30388 60776 70429 121552 140858 243104 281716 486208 563432 1126864 2253728 4507456 5000459 7535903 10000918 15071806 20001836 30143612 40003672 60287224 80007344 120574448 160014688 241148896 320029376 482297792 535049113 1070098226 2140196452 4280392904 8560785808 17121571616 34243143232