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34846380 = 223251923443
BaseRepresentation
bin1000010011101…
…1011010101100
32102120101020200
42010323122230
532410041010
63242513500
7602121642
oct204733254
972511220
1034846380
1118740668
12b805890
1372b0b7a
1448b1192
1530d4cc0
hex213b6ac

34846380 has 144 divisors (see below), whose sum is σ = 116363520. Its totient is φ = 8401536.

The previous prime is 34846363. The next prime is 34846381. The reversal of 34846380 is 8364843.

34846380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (34846381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78439 + ... + 78881.

It is an arithmetic number, because the mean of its divisors is an integer number (808080).

Almost surely, 234846380 is an apocalyptic number.

34846380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34846380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58181760).

34846380 is an abundant number, since it is smaller than the sum of its proper divisors (81517140).

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

34846380 is a wasteful number, since it uses less digits than its factorization.

34846380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 34846380 is about 5903.0822457425. The cubic root of 34846380 is about 326.6273565544.

The spelling of 34846380 in words is "thirty-four million, eight hundred forty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 23 30 36 38 45 46 57 60 69 76 90 92 95 114 115 138 171 180 190 207 228 230 276 285 342 345 380 414 437 443 460 570 684 690 828 855 874 886 1035 1140 1311 1329 1380 1710 1748 1772 2070 2185 2215 2622 2658 3420 3933 3987 4140 4370 4430 5244 5316 6555 6645 7866 7974 8417 8740 8860 10189 13110 13290 15732 15948 16834 19665 19935 20378 25251 26220 26580 30567 33668 39330 39870 40756 42085 50502 50945 61134 75753 78660 79740 84170 91701 101004 101890 122268 126255 151506 152835 168340 183402 193591 203780 252510 303012 305670 366804 378765 387182 458505 505020 580773 611340 757530 774364 917010 967955 1161546 1515060 1742319 1834020 1935910 2323092 2903865 3484638 3871820 5807730 6969276 8711595 11615460 17423190 34846380