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34479256920 = 2335614710281
BaseRepresentation
bin100000000111000111…
…111011010101011000
310021222220210201201120
4200013013323111120
51031103142210140
623501202045240
72330266563633
oct400707732530
9107886721646
1034479256920
1113693707059
126823049820
133336388194
1419512b4c1a
15d6bebb1d0
hex8071fb558

34479256920 has 64 divisors (see below), whose sum is σ = 105133494240. Its totient is φ = 9043737600.

The previous prime is 34479256919. The next prime is 34479256937. The reversal of 34479256920 is 2965297443.

It is a congruent number.

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, 2347821 + ... + 2362460.

Almost surely, 234479256920 is an apocalyptic number.

34479256920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34479256920 is an abundant number, since it is smaller than the sum of its proper divisors (70654237320).

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

34479256920 is a wasteful number, since it uses less digits than its factorization.

34479256920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4710356 (or 4710352 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 34479256920 in words is "thirty-four billion, four hundred seventy-nine million, two hundred fifty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 915 1220 1464 1830 2440 3660 7320 4710281 9420562 14130843 18841124 23551405 28261686 37682248 47102810 56523372 70654215 94205620 113046744 141308430 188411240 282616860 287327141 565233720 574654282 861981423 1149308564 1436635705 1723962846 2298617128 2873271410 3447925692 4309907115 5746542820 6895851384 8619814230 11493085640 17239628460 34479256920