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34440522224 = 2417167758201
BaseRepresentation
bin100000000100110100…
…001010100111110000
310021220012220210201012
4200010310022213300
51031013233202344
623453255530052
72326316415533
oct400464124760
9107805823635
1034440522224
1113673860109
126812089928
13332b345544
14194a0b0a1a
15d688b929e
hex804d0a9f0

34440522224 has 40 divisors (see below), whose sum is σ = 71076888288. Its totient is φ = 16110233600.

The previous prime is 34440522209. The next prime is 34440522227. The reversal of 34440522224 is 42222504443.

It is a super-2 number, since 2×344405222242 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34440522227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 333677 + ... + 424524.

Almost surely, 234440522224 is an apocalyptic number.

34440522224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34440522224 is an abundant number, since it is smaller than the sum of its proper divisors (36636366064).

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

34440522224 is a wasteful number, since it uses less digits than its factorization.

34440522224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758393 (or 758387 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 32.

The spelling of 34440522224 in words is "thirty-four billion, four hundred forty million, five hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 68 136 167 272 334 668 1336 2672 2839 5678 11356 22712 45424 758201 1516402 3032804 6065608 12131216 12889417 25778834 51557668 103115336 126619567 206230672 253239134 506478268 1012956536 2025913072 2152532639 4305065278 8610130556 17220261112 34440522224