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3066701440 = 2751121992
BaseRepresentation
bin1011011011001010…
…0010011010000000
321220201112120111211
42312302202122000
522240033421230
61224150015504
7135665350345
oct26662423200
97821476454
103066701440
111334089200
12717047594
1339b46984a
1421140a7cc
1512e36c42a
hexb6ca2680

3066701440 has 144 divisors (see below), whose sum is σ = 8099105490. Its totient is φ = 1109560320.

The previous prime is 3066701437. The next prime is 3066701467. The reversal of 3066701440 is 441076603.

It can be written as a sum of positive squares in only one way, i.e., 2760031296 + 306670144 = 52536^2 + 17512^2 .

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 15410461 + ... + 15410659.

Almost surely, 23066701440 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 3066701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049552745).

3066701440 is an abundant number, since it is smaller than the sum of its proper divisors (5032404050).

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

3066701440 is an equidigital number, since it uses as much as digits as its factorization.

3066701440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 3066701440 is about 55377.8063848687. The cubic root of 3066701440 is about 1452.8602187709.

The spelling of 3066701440 in words is "three billion, sixty-six million, seven hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 199 220 242 320 352 398 440 484 605 640 704 796 880 968 995 1210 1408 1592 1760 1936 1990 2189 2420 3184 3520 3872 3980 4378 4840 6368 7040 7744 7960 8756 9680 10945 12736 15488 15920 17512 19360 21890 24079 25472 31840 35024 38720 39601 43780 48158 63680 70048 77440 79202 87560 96316 120395 127360 140096 158404 175120 192632 198005 240790 280192 316808 350240 385264 396010 435611 481580 633616 700480 770528 792020 871222 963160 1267232 1400960 1541056 1584040 1742444 1926320 2178055 2534464 3082112 3168080 3484888 3852640 4356110 4791721 5068928 6336160 6969776 7705280 8712220 9583442 12672320 13939552 15410560 17424440 19166884 23958605 25344640 27879104 34848880 38333768 47917210 55758208 69697760 76667536 95834420 139395520 153335072 191668840 278791040 306670144 383337680 613340288 766675360 1533350720 3066701440