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3324144720 = 2435132936739
BaseRepresentation
bin1100011000100010…
…0110110001010000
322120122222001022010
43012020212301100
523301440112340
61305503542520
7145242523011
oct30610466120
98518861263
103324144720
111456436146
127892baa40
1340c8b7150
142376a3008
15146c71b80
hexc6226c50

3324144720 has 160 divisors (see below), whose sum is σ = 11480515200. Its totient is φ = 790013952.

The previous prime is 3324144689. The next prime is 3324144727. The reversal of 3324144720 is 274414233.

It is a super-2 number, since 2×33241447202 = 22099876239007756800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3324144727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72111 + ... + 108849.

It is an arithmetic number, because the mean of its divisors is an integer number (71753220).

Almost surely, 23324144720 is an apocalyptic number.

3324144720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3324144720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5740257600).

3324144720 is an abundant number, since it is smaller than the sum of its proper divisors (8156370480).

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

3324144720 is a wasteful number, since it uses less digits than its factorization.

3324144720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36797 (or 36791 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 3324144720 is about 57655.3962782323. The cubic root of 3324144720 is about 1492.4277225113.

Adding to 3324144720 its reverse (274414233), we get a palindrome (3598558953).

The spelling of 3324144720 in words is "three billion, three hundred twenty-four million, one hundred forty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 29 30 39 40 48 52 58 60 65 78 80 87 104 116 120 130 145 156 174 195 208 232 240 260 290 312 348 377 390 435 464 520 580 624 696 754 780 870 1040 1131 1160 1392 1508 1560 1740 1885 2262 2320 3016 3120 3480 3770 4524 5655 6032 6960 7540 9048 11310 15080 18096 22620 30160 36739 45240 73478 90480 110217 146956 183695 220434 293912 367390 440868 477607 551085 587824 734780 881736 955214 1065431 1102170 1432821 1469560 1763472 1910428 2130862 2204340 2388035 2865642 2939120 3196293 3820856 4261724 4408680 4776070 5327155 5731284 6392586 7164105 7641712 8523448 8817360 9552140 10654310 11462568 12785172 13850603 14328210 15981465 17046896 19104280 21308620 22925136 25570344 27701206 28656420 31962930 38208560 41551809 42617240 51140688 55402412 57312840 63925860 69253015 83103618 85234480 110804824 114625680 127851720 138506030 166207236 207759045 221609648 255703440 277012060 332414472 415518090 554024120 664828944 831036180 1108048240 1662072360 3324144720