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3068003960 = 235729478039
BaseRepresentation
bin1011011011011110…
…0000011001111000
321220210222202020022
42312313200121320
522240402111320
61224233550012
7136012413650
oct26667403170
97823882208
103068003960
11133489886a
12717575308
1339b804678
14211669360
1512e528325
hexb6de0678

3068003960 has 128 divisors (see below), whose sum is σ = 8335872000. Its totient is φ = 993882624.

The previous prime is 3068003941. The next prime is 3068004011. The reversal of 3068003960 is 693008603.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3068003960.

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 31 ways as a sum of consecutive naturals, for example, 377621 + ... + 385659.

It is an arithmetic number, because the mean of its divisors is an integer number (65124000).

Almost surely, 23068003960 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 3068003960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167936000).

3068003960 is an abundant number, since it is smaller than the sum of its proper divisors (5267868040).

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

3068003960 is a wasteful number, since it uses less digits than its factorization.

3068003960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8133 (or 8129 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 3068003960 is about 55389.5654433215. The cubic root of 3068003960 is about 1453.0658807474.

The spelling of 3068003960 in words is "three billion, sixty-eight million, three thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 47 56 58 70 94 116 140 145 188 203 232 235 280 290 329 376 406 470 580 658 812 940 1015 1160 1316 1363 1624 1645 1880 2030 2632 2726 3290 4060 5452 6580 6815 8039 8120 9541 10904 13160 13630 16078 19082 27260 32156 38164 40195 47705 54520 56273 64312 76328 80390 95410 112546 160780 190820 225092 233131 281365 321560 377833 381640 450184 466262 562730 755666 932524 1125460 1165655 1511332 1631917 1865048 1889165 2250920 2331310 2644831 3022664 3263834 3778330 4662620 5289662 6527668 7556660 8159585 9325240 10579324 10957157 13055336 13224155 15113320 16319170 21158648 21914314 26448310 32638340 43828628 52896620 54785785 65276680 76700099 87657256 105793240 109571570 153400198 219143140 306800396 383500495 438286280 613600792 767000990 1534001980 3068003960