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34444069100 = 2252749205813
BaseRepresentation
bin100000000101000001…
…101100100011101100
310021220110121000002222
4200011001230203230
51031020140202400
623453503534512
72326361520350
oct400501544354
9107813530088
1034444069100
1113675862a11
1268132ba438
13332bcb7a9c
14194a755460
15d68d6a185
hex80506c8ec

34444069100 has 36 divisors (see below), whose sum is σ = 85421293104. Its totient is φ = 11809394880.

The previous prime is 34444069091. The next prime is 34444069183. The reversal of 34444069100 is 196044443.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 24602207 + ... + 24603606.

Almost surely, 234444069100 is an apocalyptic number.

It is an amenable number.

34444069100 is an abundant number, since it is smaller than the sum of its proper divisors (50977224004).

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

34444069100 is a wasteful number, since it uses less digits than its factorization.

34444069100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49205834 (or 49205827 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 34444069100 in words is "thirty-four billion, four hundred forty-four million, sixty-nine thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 49205813 98411626 196823252 246029065 344440691 492058130 688881382 984116260 1230145325 1377762764 1722203455 2460290650 3444406910 4920581300 6888813820 8611017275 17222034550 34444069100