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3335466640 = 2451121720269
BaseRepresentation
bin1100011011001111…
…0010111010010000
322121110021021001111
43012303302322100
523312334413030
61310550343104
7145440666352
oct30663627220
98543237044
103335466640
111461869500
1279105aa94
1341204c5cc
14238dad0d2
15147c5b62a
hexc6cf2e90

3335466640 has 120 divisors (see below), whose sum is σ = 9025906680. Its totient is φ = 1141493760.

The previous prime is 3335466637. The next prime is 3335466643. The reversal of 3335466640 is 466645333.

It is a happy number.

3335466640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3335466637) and next prime (3335466643).

It can be written as a sum of positive squares in 4 ways, for example, as 1106493696 + 2228972944 = 33264^2 + 47212^2 .

It is a super-2 number, since 2×33354666402 = 22250675413105779200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3335466593 and 3335466602.

It is not an unprimeable number, because it can be changed into a prime (3335466643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154426 + ... + 174694.

It is an arithmetic number, because the mean of its divisors is an integer number (75215889).

Almost surely, 23335466640 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 3335466640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4512953340).

3335466640 is an abundant number, since it is smaller than the sum of its proper divisors (5690440040).

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

3335466640 is a wasteful number, since it uses less digits than its factorization.

3335466640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20321 (or 20304 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 40.

The square root of 3335466640 is about 57753.4989416226. The cubic root of 3335466640 is about 1494.1201879144.

The spelling of 3335466640 in words is "three billion, three hundred thirty-five million, four hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 121 136 170 176 187 220 242 272 340 374 440 484 605 680 748 880 935 968 1210 1360 1496 1870 1936 2057 2420 2992 3740 4114 4840 7480 8228 9680 10285 14960 16456 20269 20570 32912 40538 41140 81076 82280 101345 162152 164560 202690 222959 324304 344573 405380 445918 689146 810760 891836 1114795 1378292 1621520 1722865 1783672 2229590 2452549 2756584 3445730 3567344 3790303 4459180 4905098 5513168 6891460 7580606 8918360 9810196 12262745 13782920 15161212 17836720 18951515 19620392 24525490 27565840 30322424 37903030 39240784 41693333 49050980 60644848 75806060 83386666 98101960 151612120 166773332 196203920 208466665 303224240 333546664 416933330 667093328 833866660 1667733320 3335466640