Search a number
-
+
3362022640 = 245192937549
BaseRepresentation
bin1100100001100100…
…0110010011110000
322200022020110001001
43020121012103300
523341134211030
61313335451344
7146212502164
oct31031062360
98608213031
103362022640
111475857409
12799b26b54
134176b9b12
1423c722ca4
1514a254cca
hexc86464f0

3362022640 has 80 divisors (see below), whose sum is σ = 8257284000. Its totient is φ = 1269513216.

The previous prime is 3362022611. The next prime is 3362022647. The reversal of 3362022640 is 462202633.

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

It is a super-2 number, since 2×33620226402 = 22606392463745139200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3362022599 and 3362022608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3362022647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441586 + ... + 449134.

It is an arithmetic number, because the mean of its divisors is an integer number (103216050).

Almost surely, 23362022640 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 3362022640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128642000).

3362022640 is an abundant number, since it is smaller than the sum of its proper divisors (4895261360).

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

3362022640 is a wasteful number, since it uses less digits than its factorization.

3362022640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7874 (or 7868 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 3362022640 is about 57982.9512874259. The cubic root of 3362022640 is about 1498.0749586823.

The spelling of 3362022640 in words is "three billion, three hundred sixty-two million, twenty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 293 304 380 586 760 1172 1465 1520 2344 2930 4688 5567 5860 7549 11134 11720 15098 22268 23440 27835 30196 37745 44536 55670 60392 75490 89072 111340 120784 143431 150980 222680 286862 301960 445360 573724 603920 717155 1147448 1434310 2211857 2294896 2868620 4423714 5737240 8847428 11059285 11474480 17694856 22118570 35389712 42025283 44237140 84050566 88474280 168101132 176948560 210126415 336202264 420252830 672404528 840505660 1681011320 3362022640