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3320023120 = 2453143163191
BaseRepresentation
bin1100010111100011…
…1000100001010000
322120101012122112021
43011320320201100
523244411214440
61305235341224
7145162505461
oct30570704120
98511178467
103320023120
111454080567
12787a51814
1340baa312b
14236d0cd68
1514670a84a
hexc5e38850

3320023120 has 160 divisors (see below), whose sum is σ = 8246329344. Its totient is φ = 1241049600.

The previous prime is 3320023099. The next prime is 3320023123. The reversal of 3320023120 is 213200233.

It is a super-2 number, since 2×33200231202 = 22045107034669068800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3320023094 and 3320023103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3320023123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17382225 + ... + 17382415.

Almost surely, 23320023120 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 3320023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4123164672).

3320023120 is an abundant number, since it is smaller than the sum of its proper divisors (4926306224).

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

3320023120 is a wasteful number, since it uses less digits than its factorization.

3320023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3320023120 is about 57619.6417899313. The cubic root of 3320023120 is about 1491.8106480801.

Adding to 3320023120 its reverse (213200233), we get a palindrome (3533223353).

The spelling of 3320023120 in words is "three billion, three hundred twenty million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 43 62 80 86 124 155 163 172 191 215 248 310 326 344 382 430 496 620 652 688 764 815 860 955 1240 1304 1333 1528 1630 1720 1910 2480 2608 2666 3056 3260 3440 3820 5053 5332 5921 6520 6665 7009 7640 8213 10106 10664 11842 13040 13330 14018 15280 16426 20212 21328 23684 25265 26660 28036 29605 31133 32852 35045 40424 41065 47368 50530 53320 56072 59210 62266 65704 70090 80848 82130 94736 101060 106640 112144 118420 124532 131408 140180 155665 164260 202120 217279 236840 249064 254603 280360 311330 328520 404240 434558 473680 498128 509206 560720 622660 657040 869116 965123 1018412 1086395 1245320 1273015 1338719 1738232 1930246 2036824 2172790 2490640 2546030 2677438 3476464 3860492 4073648 4345580 4825615 5092060 5354876 6693595 7720984 8691160 9651230 10184120 10709752 13387190 15441968 17382320 19302460 20368240 21419504 26774380 38604920 41500289 53548760 77209840 83000578 107097520 166001156 207501445 332002312 415002890 664004624 830005780 1660011560 3320023120