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34377005341 = 739750324593
BaseRepresentation
bin100000000001000001…
…110111100100011101
310021201210101210221001
4200001001313210131
51030401003132331
623443110310301
72324615503240
oct400101674435
9107653353831
1034377005341
1113640a17a18
1267b4958391
13331b1368a3
141941899257
15d6301e561
hex80107791d

34377005341 has 16 divisors (see below), whose sum is σ = 39466877184. Its totient is φ = 29332157184.

The previous prime is 34377005339. The next prime is 34377005401. The reversal of 34377005341 is 14350077343.

It is a cyclic number.

It is not a de Polignac number, because 34377005341 - 21 = 34377005339 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34377005341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34377005441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1385541 + ... + 1410133.

It is an arithmetic number, because the mean of its divisors is an integer number (2466679824).

Almost surely, 234377005341 is an apocalyptic number.

It is an amenable number.

34377005341 is a deficient number, since it is larger than the sum of its proper divisors (5089871843).

34377005341 is a wasteful number, since it uses less digits than its factorization.

34377005341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25500.

The product of its (nonzero) digits is 105840, while the sum is 37.

The spelling of 34377005341 in words is "thirty-four billion, three hundred seventy-seven million, five thousand, three hundred forty-one".

Divisors: 1 7 397 503 2779 3521 24593 172151 199691 1397837 9763421 12370279 68343947 86591953 4911000763 34377005341