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34441005632 = 261148921883
BaseRepresentation
bin100000000100110110…
…000000101001000000
310021220020211100211012
4200010312000221000
51031013344140012
623453314140052
72326323501065
oct400466005100
9107806740735
1034441005632
1113674060320
126812281628
13332b484597
14194a198c6c
15d68962622
hex804d80a40

34441005632 has 28 divisors (see below), whose sum is σ = 74556951216. Its totient is φ = 15655002240.

The previous prime is 34441005631. The next prime is 34441005649. The reversal of 34441005632 is 23650014443.

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

It is not an unprimeable number, because it can be changed into a prime (34441005631) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24460238 + ... + 24461645.

Almost surely, 234441005632 is an apocalyptic number.

34441005632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34441005632 is an abundant number, since it is smaller than the sum of its proper divisors (40115945584).

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

34441005632 is a wasteful number, since it uses less digits than its factorization.

34441005632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48921906 (or 48921896 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The spelling of 34441005632 in words is "thirty-four billion, four hundred forty-one million, five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 48921883 97843766 195687532 391375064 538140713 782750128 1076281426 1565500256 2152562852 3131000512 4305125704 8610251408 17220502816 34441005632