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34480863450 = 23252116965831
BaseRepresentation
bin100000000111001110…
…000011100011011010
310022000000211100110200
4200013032003203122
51031104100112300
623501300323030
72330316334455
oct400716034332
9108000740420
1034480863450
1113694604070
1268236a3476
1333367cb4a7
1419515b249c
15d6c1d7200
hex8073838da

34480863450 has 72 divisors (see below), whose sum is σ = 101060290656. Its totient is φ = 8358996000.

The previous prime is 34480863401. The next prime is 34480863493. The reversal of 34480863450 is 5436808443.

34480863450 is a `hidden beast` number, since 3 + 4 + 4 + 8 + 0 + 8 + 634 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 34480863396 and 34480863405.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3477966 + ... + 3487865.

It is an arithmetic number, because the mean of its divisors is an integer number (1403615148).

Almost surely, 234480863450 is an apocalyptic number.

34480863450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34480863450 is an abundant number, since it is smaller than the sum of its proper divisors (66579427206).

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

34480863450 is a wasteful number, since it uses less digits than its factorization.

34480863450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6965860 (or 6965852 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 34480863450 in words is "thirty-four billion, four hundred eighty million, eight hundred sixty-three thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 2475 4950 6965831 13931662 20897493 34829155 41794986 62692479 69658310 76624141 104487465 125384958 153248282 174145775 208974930 229872423 313462395 348291550 383120705 459744846 522437325 626924790 689617269 766241410 1044874650 1149362115 1379234538 1567311975 1915603525 2298724230 3134623950 3448086345 3831207050 5746810575 6896172690 11493621150 17240431725 34480863450