Search a number
-
+
3354888880 = 245721376247
BaseRepresentation
bin1100011111110111…
…1000101010110000
322122210211000100201
43013331320222300
523332322421010
61312522524544
7146065041100
oct30775705260
98583730321
103354888880
111471824742
12797666754
1341608ca65
1423b7c7200
151497e623a
hexc7f78ab0

3354888880 has 120 divisors (see below), whose sum is σ = 9141298848. Its totient is φ = 1141668864.

The previous prime is 3354888839. The next prime is 3354888899. The reversal of 3354888880 is 888884533.

It is a happy number.

It is a super-2 number, since 2×33548888802 = 22510558794295308800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533917 + ... + 540163.

Almost surely, 23354888880 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 3354888880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570649424).

3354888880 is an abundant number, since it is smaller than the sum of its proper divisors (5786409968).

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

3354888880 is a wasteful number, since it uses less digits than its factorization.

3354888880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6411 (or 6398 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 55.

The square root of 3354888880 is about 57921.4026073264. The cubic root of 3354888880 is about 1497.0146371624.

The spelling of 3354888880 in words is "three billion, three hundred fifty-four million, eight hundred eighty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 137 140 196 245 274 280 392 490 548 560 685 784 959 980 1096 1370 1918 1960 2192 2740 3836 3920 4795 5480 6247 6713 7672 9590 10960 12494 13426 15344 19180 24988 26852 31235 33565 38360 43729 49976 53704 62470 67130 76720 87458 99952 107408 124940 134260 174916 218645 249880 268520 306103 349832 437290 499760 537040 612206 699664 855839 874580 1224412 1530515 1711678 1749160 2448824 3061030 3423356 3498320 4279195 4897648 5990873 6122060 6846712 8558390 11981746 12244120 13693424 17116780 23963492 24488240 29954365 34233560 41936111 47926984 59908730 68467120 83872222 95853968 119817460 167744444 209680555 239634920 335488888 419361110 479269840 670977776 838722220 1677444440 3354888880