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3324134000 = 245311612477
BaseRepresentation
bin1100011000100010…
…0100001001110000
322120122221111121002
43012020210021300
523301434242000
61305503421132
7145242446525
oct30610441160
98518844532
103324134000
111456429090
127892b47a8
1340c8b22c5
1423769d14c
15146c6d8d5
hexc6224270

3324134000 has 160 divisors (see below), whose sum is σ = 8915804352. Its totient is φ = 1188480000.

The previous prime is 3324133997. The next prime is 3324134071. The reversal of 3324134000 is 4314233.

It is a super-2 number, since 2×33241340002 = 22099733699912000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1340762 + ... + 1343238.

Almost surely, 23324134000 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 3324134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457902176).

3324134000 is an abundant number, since it is smaller than the sum of its proper divisors (5591670352).

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

3324134000 is a wasteful number, since it uses less digits than its factorization.

3324134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3324134000 is about 57655.3033120111. The cubic root of 3324134000 is about 1492.4261182046.

Adding to 3324134000 its reverse (4314233), we get a palindrome (3328448233).

The spelling of 3324134000 in words is "three billion, three hundred twenty-four million, one hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 61 80 88 100 110 122 125 176 200 220 244 250 275 305 400 440 488 500 550 610 671 880 976 1000 1100 1220 1342 1375 1525 2000 2200 2440 2477 2684 2750 3050 3355 4400 4880 4954 5368 5500 6100 6710 7625 9908 10736 11000 12200 12385 13420 15250 16775 19816 22000 24400 24770 26840 27247 30500 33550 39632 49540 53680 54494 61000 61925 67100 83875 99080 108988 122000 123850 134200 136235 151097 167750 198160 217976 247700 268400 272470 302194 309625 335500 435952 495400 544940 604388 619250 671000 681175 755485 990800 1089880 1208776 1238500 1342000 1362350 1510970 1662067 2179760 2417552 2477000 2724700 3021940 3324134 3405875 3777425 4954000 5449400 6043880 6648268 6811750 7554850 8310335 10898800 12087760 13296536 13623500 15109700 16620670 18887125 26593072 27247000 30219400 33241340 37774250 41551675 54494000 60438800 66482680 75548500 83103350 132965360 151097000 166206700 207758375 302194000 332413400 415516750 664826800 831033500 1662067000 3324134000