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34243254240 = 2535135487701
BaseRepresentation
bin11111111001000011…
…101001011111100000
310021101110201112220120
4133321003221133200
51030112233113430
623421531440240
72321402600316
oct377103513740
9107343645816
1034243254240
1113582473818
126777bb6080
1332c9506920
14192bc000b6
15d563ee610
hex7f90e97e0

34243254240 has 96 divisors (see below), whose sum is σ = 116163675936. Its totient is φ = 8429107200.

The previous prime is 34243254239. The next prime is 34243254263. The reversal of 34243254240 is 4245234243.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2737611 + ... + 2750090.

It is an arithmetic number, because the mean of its divisors is an integer number (1210038291).

Almost surely, 234243254240 is an apocalyptic number.

34243254240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34243254240 is an abundant number, since it is smaller than the sum of its proper divisors (81920421696).

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

34243254240 is a wasteful number, since it uses less digits than its factorization.

34243254240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5487732 (or 5487724 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 33.

Adding to 34243254240 its reverse (4245234243), we get a palindrome (38488488483).

The spelling of 34243254240 in words is "thirty-four billion, two hundred forty-three million, two hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 5487701 10975402 16463103 21950804 27438505 32926206 43901608 54877010 65852412 71340113 82315515 87803216 109754020 131704824 142680226 164631030 175606432 214020339 219508040 263409648 285360452 329262060 356700565 428040678 439016080 526819296 570720904 658524120 713401130 856081356 878032160 1070101695 1141441808 1317048240 1426802260 1712162712 2140203390 2282883616 2634096480 2853604520 3424325424 4280406780 5707209040 6848650848 8560813560 11414418080 17121627120 34243254240