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34969480 = 2357132739
BaseRepresentation
bin1000010101100…
…1011110001000
32102210122002221
42011121132020
532423010410
63245303424
7603143560
oct205313610
972718087
1034969480
11188150a7
12b864b74
137324c00
144903da0
15310b4da
hex2159788

34969480 has 96 divisors (see below), whose sum is σ = 97502400. Its totient is φ = 11052288.

The previous prime is 34969471. The next prime is 34969483. The reversal of 34969480 is 8496943.

It is not an unprimeable number, because it can be changed into a prime (34969483) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 46951 + ... + 47689.

It is an arithmetic number, because the mean of its divisors is an integer number (1015650).

Almost surely, 234969480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34969480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48751200).

34969480 is an abundant number, since it is smaller than the sum of its proper divisors (62532920).

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

34969480 is a wasteful number, since it uses less digits than its factorization.

34969480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 34969480 is about 5913.4998097573. The cubic root of 34969480 is about 327.0115243751.

The spelling of 34969480 in words is "thirty-four million, nine hundred sixty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 169 182 260 280 338 364 455 520 676 728 739 845 910 1183 1352 1478 1690 1820 2366 2956 3380 3640 3695 4732 5173 5912 5915 6760 7390 9464 9607 10346 11830 14780 19214 20692 23660 25865 29560 38428 41384 47320 48035 51730 67249 76856 96070 103460 124891 134498 192140 206920 249782 268996 336245 384280 499564 537992 624455 672490 874237 999128 1248910 1344980 1748474 2497820 2689960 3496948 4371185 4995640 6993896 8742370 17484740 34969480