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3342200080 = 245473972239
BaseRepresentation
bin1100011100110101…
…1110110100010000
322121220221100121011
43013031132310100
523321100400310
61311350540304
7145552142362
oct30715366420
98556840534
103342200080
11146564842a
12793367694
134135693ab
14239c42d32
1514863b78a
hexc735ed10

3342200080 has 80 divisors (see below), whose sum is σ = 7959490560. Its totient is φ = 1304557056.

The previous prime is 3342200053. The next prime is 3342200089. The reversal of 3342200080 is 800022433.

3342200080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33422000802 = 22340602749504012800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3342200089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1491601 + ... + 1493839.

It is an arithmetic number, because the mean of its divisors is an integer number (99493632).

Almost surely, 23342200080 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 3342200080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3979745280).

3342200080 is an abundant number, since it is smaller than the sum of its proper divisors (4617290480).

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

3342200080 is a wasteful number, since it uses less digits than its factorization.

3342200080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3342200080 is about 57811.7642007230. The cubic root of 3342200080 is about 1495.1249255233.

The spelling of 3342200080 in words is "three billion, three hundred forty-two million, two hundred thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 397 470 752 794 940 1588 1880 1985 2239 3176 3760 3970 4478 6352 7940 8956 11195 15880 17912 18659 22390 31760 35824 37318 44780 74636 89560 93295 105233 149272 179120 186590 210466 298544 373180 420932 526165 746360 841864 888883 1052330 1492720 1683728 1777766 2104660 3555532 4209320 4444415 7111064 8418640 8888830 14222128 17777660 35555320 41777501 71110640 83555002 167110004 208887505 334220008 417775010 668440016 835550020 1671100040 3342200080