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3423067120 = 2451131179701
BaseRepresentation
bin1100110000000111…
…1101101111110000
322211120002211022201
43030001331233300
524002301121440
61323400112544
7150553406344
oct31401755760
98746084281
103423067120
1114a7260aa0
127b6465754
13427241305
14246893624
151507b219a
hexcc07dbf0

3423067120 has 160 divisors (see below), whose sum is σ = 9025136640. Its totient is φ = 1196160000.

The previous prime is 3423067117. The next prime is 3423067121. The reversal of 3423067120 is 217603243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3423067121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4882770 + ... + 4883470.

It is an arithmetic number, because the mean of its divisors is an integer number (56407104).

Almost surely, 23423067120 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 3423067120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4512568320).

3423067120 is an abundant number, since it is smaller than the sum of its proper divisors (5602069520).

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

3423067120 is a wasteful number, since it uses less digits than its factorization.

3423067120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 3423067120 is about 58506.9835147908. The cubic root of 3423067120 is about 1507.0875135051.

The spelling of 3423067120 in words is "three billion, four hundred twenty-three million, sixty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 179 220 248 310 341 358 440 496 620 682 701 716 880 895 1240 1364 1402 1432 1705 1790 1969 2480 2728 2804 2864 3410 3505 3580 3938 5456 5549 5608 6820 7010 7160 7711 7876 9845 11098 11216 13640 14020 14320 15422 15752 19690 21731 22196 27280 27745 28040 30844 31504 38555 39380 43462 44392 55490 56080 61039 61688 77110 78760 86924 88784 108655 110980 122078 123376 125479 154220 157520 173848 217310 221960 239041 244156 250958 305195 308440 347696 434620 443920 478082 488312 501916 610390 616880 627395 869240 956164 976624 1003832 1195205 1220780 1254790 1380269 1738480 1912328 2007664 2390410 2441560 2509580 2760538 3824656 3889849 4780820 4883120 5019160 5521076 6901345 7779698 9561640 10038320 11042152 13802690 15559396 19123280 19449245 22084304 27605380 31118792 38898490 42788339 55210760 62237584 77796980 85576678 110421520 155593960 171153356 213941695 311187920 342306712 427883390 684613424 855766780 1711533560 3423067120