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3342010100 = 225211131032269
BaseRepresentation
bin1100011100110011…
…0000011011110100
322121220120200222212
43013030300123310
523321023310400
61311342512552
7145550421452
oct30714603364
98556520885
103342010100
111465528720
12793295758
13413500a90
14239bd39d2
15148600335
hexc73306f4

3342010100 has 144 divisors (see below), whose sum is σ = 8606532480. Its totient is φ = 1110412800.

The previous prime is 3342010099. The next prime is 3342010117. The reversal of 3342010100 is 10102433.

3342010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33420101002 = 22338063017004020000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1471766 + ... + 1474034.

Almost surely, 23342010100 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 3342010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303266240).

3342010100 is an abundant number, since it is smaller than the sum of its proper divisors (5264522380).

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

3342010100 is a wasteful number, since it uses less digits than its factorization.

3342010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3342010100 is about 57810.1210861904. The cubic root of 3342010100 is about 1495.0965959591.

Adding to 3342010100 its reverse (10102433), we get a palindrome (3352112533).

The spelling of 3342010100 in words is "three billion, three hundred forty-two million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 103 110 130 143 206 220 260 275 286 325 412 515 550 572 650 715 1030 1100 1133 1300 1339 1430 2060 2266 2269 2575 2678 2860 3575 4532 4538 5150 5356 5665 6695 7150 9076 10300 11330 11345 13390 14300 14729 22660 22690 24959 26780 28325 29458 29497 33475 45380 49918 56650 56725 58916 58994 66950 73645 99836 113300 113450 117988 124795 133900 147290 147485 226900 233707 249590 294580 294970 324467 368225 467414 499180 589940 623975 648934 736450 737425 934828 1168535 1247950 1297868 1472900 1474850 1622335 2337070 2495900 2570777 2949700 3038191 3244670 4674140 5141554 5842675 6076382 6489340 8111675 10283108 11685350 12152764 12853885 15190955 16223350 23370700 25707770 30381910 32446700 33420101 51415540 60763820 64269425 66840202 75954775 128538850 133680404 151909550 167100505 257077700 303819100 334201010 668402020 835502525 1671005050 3342010100