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34145335320 = 2335284544461
BaseRepresentation
bin11111110011001110…
…000111100000011000
310021010122110202101220
4133303032013200120
51024412201212240
623404113012040
72316103363365
oct376316074030
9107118422356
1034145335320
1113532173898
12674b254020
1332b2141435
14191cbd146c
15d4ca0b5d0
hex7f3387818

34145335320 has 32 divisors (see below), whose sum is σ = 102436006320. Its totient is φ = 9105422720.

The previous prime is 34145335297. The next prime is 34145335321. The reversal of 34145335320 is 2353354143.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34145335321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142272111 + ... + 142272350.

Almost surely, 234145335320 is an apocalyptic number.

34145335320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34145335320 is an abundant number, since it is smaller than the sum of its proper divisors (68290671000).

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

34145335320 is a wasteful number, since it uses less digits than its factorization.

34145335320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284544475 (or 284544471 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 33.

Adding to 34145335320 its reverse (2353354143), we get a palindrome (36498689463).

The spelling of 34145335320 in words is "thirty-four billion, one hundred forty-five million, three hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 284544461 569088922 853633383 1138177844 1422722305 1707266766 2276355688 2845444610 3414533532 4268166915 5690889220 6829067064 8536333830 11381778440 17072667660 34145335320