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34948080 = 2432548539
BaseRepresentation
bin1000010101010…
…0001111110000
32102202112202100
42011110033300
532421314310
63245020400
7603024306
oct205241760
972675670
1034948080
1118800012
12b854700
13731824b
1448da276
153104ec0
hex21543f0

34948080 has 60 divisors (see below), whose sum is σ = 117369720. Its totient is φ = 9319296.

The previous prime is 34948061. The next prime is 34948097. The reversal of 34948080 is 8084943.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23550 + ... + 24989.

It is an arithmetic number, because the mean of its divisors is an integer number (1956162).

Almost surely, 234948080 is an apocalyptic number.

34948080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34948080 is an abundant number, since it is smaller than the sum of its proper divisors (82421640).

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

34948080 is a wasteful number, since it uses less digits than its factorization.

34948080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48558 (or 48549 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 34948080 is about 5911.6901136646. The cubic root of 34948080 is about 326.9448045323.

The spelling of 34948080 in words is "thirty-four million, nine hundred forty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 48539 97078 145617 194156 242695 291234 388312 436851 485390 582468 728085 776624 873702 970780 1164936 1456170 1747404 1941560 2184255 2329872 2912340 3494808 3883120 4368510 5824680 6989616 8737020 11649360 17474040 34948080