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34509614440 = 2357177249919
BaseRepresentation
bin100000001000111011…
…101110110101101000
310022002000221001102011
4200020323232311220
51031133430130230
623504204445304
72331115611550
oct401073566550
9108060831364
1034509614440
11136a9861114
126831249834
13333c756b02
141955338160
15d6e9b5e2a
hex808eeed68

34509614440 has 64 divisors (see below), whose sum is σ = 93958963200. Its totient is φ = 11135874048.

The previous prime is 34509614431. The next prime is 34509614459. The reversal of 34509614440 is 4441690543.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 34509614393 and 34509614402.

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 15 ways as a sum of consecutive naturals, for example, 3620200 + ... + 3629719.

It is an arithmetic number, because the mean of its divisors is an integer number (1468108800).

Almost surely, 234509614440 is an apocalyptic number.

It is an amenable number.

34509614440 is an abundant number, since it is smaller than the sum of its proper divisors (59449348760).

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

34509614440 is a wasteful number, since it uses less digits than its factorization.

34509614440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7249954 (or 7249950 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 34509614440 in words is "thirty-four billion, five hundred nine million, six hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 7249919 14499838 28999676 36249595 50749433 57999352 72499190 101498866 123248623 144998380 202997732 246497246 253747165 289996760 405995464 492994492 507494330 616243115 862740361 985988984 1014988660 1232486230 1725480722 2029977320 2464972460 3450961444 4313701805 4929944920 6901922888 8627403610 17254807220 34509614440