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3306242640 = 2435233071951
BaseRepresentation
bin1100010100010001…
…0100001001010000
322112102021112021010
43011010110021100
523232344231030
61304024130520
7144634412241
oct30504241120
98472245233
103306242640
111447319038
12783306a40
13408c898bc
14235162cc8
151453d76b0
hexc5114250

3306242640 has 160 divisors (see below), whose sum is σ = 10735312896. Its totient is φ = 840153600.

The previous prime is 3306242627. The next prime is 3306242647. The reversal of 3306242640 is 462426033.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 3306242598 and 3306242607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3306242647) 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, 1693665 + ... + 1695615.

Almost surely, 23306242640 is an apocalyptic number.

3306242640 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 3306242640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367656448).

3306242640 is an abundant number, since it is smaller than the sum of its proper divisors (7429070256).

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

3306242640 is a wasteful number, since it uses less digits than its factorization.

3306242640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 3306242640 is about 57499.9359999644. The cubic root of 3306242640 is about 1489.7437572655.

Adding to 3306242640 its reverse (462426033), we get a palindrome (3768668673).

The spelling of 3306242640 in words is "three billion, three hundred six million, two hundred forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 307 345 368 460 552 614 690 920 921 1104 1228 1380 1535 1840 1842 1951 2456 2760 3070 3684 3902 4605 4912 5520 5853 6140 7061 7368 7804 9210 9755 11706 12280 14122 14736 15608 18420 19510 21183 23412 24560 28244 29265 31216 35305 36840 39020 42366 44873 46824 56488 58530 70610 73680 78040 84732 89746 93648 105915 112976 117060 134619 141220 156080 169464 179492 211830 224365 234120 269238 282440 338928 358984 423660 448730 468240 538476 564880 598957 673095 717968 847320 897460 1076952 1197914 1346190 1694640 1794920 1796871 2153904 2395828 2692380 2994785 3589840 3593742 4791656 5384760 5989570 7187484 8984355 9583312 10769520 11979140 13776011 14374968 17968710 23958280 27552022 28749936 35937420 41328033 47916560 55104044 68880055 71874840 82656066 110208088 137760110 143749680 165312132 206640165 220416176 275520220 330624264 413280330 551040440 661248528 826560660 1102080880 1653121320 3306242640