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3002423440 = 245417911587
BaseRepresentation
bin1011001011110101…
…0101100010010000
321202020120220200011
42302331111202100
522122110022230
61213532204304
7134255115052
oct26275254220
97666526604
103002423440
111300876195
126b9609694
1338b052623
14206a778d2
151288c1e2a
hexb2f55890

3002423440 has 80 divisors (see below), whose sum is σ = 7242036480. Its totient is φ = 1156746240.

The previous prime is 3002423429. The next prime is 3002423507. The reversal of 3002423440 is 443242003.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×30024234402 = 18029093026122867200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253327 + ... + 264913.

It is an arithmetic number, because the mean of its divisors is an integer number (90525456).

Almost surely, 23002423440 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 3002423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621018240).

3002423440 is an abundant number, since it is smaller than the sum of its proper divisors (4239613040).

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

3002423440 is a wasteful number, since it uses less digits than its factorization.

3002423440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11720 (or 11714 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 3002423440 is about 54794.3741637771. The cubic root of 3002423440 is about 1442.6378219255.

Adding to 3002423440 its reverse (443242003), we get a palindrome (3445665443).

The spelling of 3002423440 in words is "three billion, two million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 79 80 82 158 164 205 316 328 395 410 632 656 790 820 1264 1580 1640 3160 3239 3280 6320 6478 11587 12956 16195 23174 25912 32390 46348 51824 57935 64780 92696 115870 129560 185392 231740 259120 463480 475067 915373 926960 950134 1830746 1900268 2375335 3661492 3800536 4576865 4750670 7322984 7601072 9153730 9501340 14645968 18307460 19002680 36614920 37530293 38005360 73229840 75060586 150121172 187651465 300242344 375302930 600484688 750605860 1501211720 3002423440