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3380362416 = 243317460289
BaseRepresentation
bin1100100101111100…
…0011110010110000
322201120202012111000
43021133003302300
523410333044131
61315232522000
7146524415004
oct31137036260
98646665430
103380362416
111485143352
127a40b0300
1341b43b662
14240d38704
1514bb78ce6
hexc97c3cb0

3380362416 has 80 divisors (see below), whose sum is σ = 10273672800. Its totient is φ = 1060503552.

The previous prime is 3380362387. The next prime is 3380362421. The reversal of 3380362416 is 6142630833.

3380362416 is a `hidden beast` number, since 3 + 380 + 36 + 241 + 6 = 666.

3380362416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33803624162 = 22853700127010714112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 222801 + ... + 237488.

It is an arithmetic number, because the mean of its divisors is an integer number (128420910).

Almost surely, 23380362416 is an apocalyptic number.

3380362416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3380362416 is an abundant number, since it is smaller than the sum of its proper divisors (6893310384).

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

3380362416 is a wasteful number, since it uses less digits than its factorization.

3380362416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460323 (or 460311 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3380362416 is about 58140.8842038027. The cubic root of 3380362416 is about 1500.7940116229.

The spelling of 3380362416 in words is "three billion, three hundred eighty million, three hundred sixty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 460289 920578 1380867 1841156 2761734 3682312 4142601 5523468 7364624 7824913 8285202 11046936 12427803 15649826 16570404 22093872 23474739 24855606 31299652 33140808 46949478 49711212 62599304 66281616 70424217 93898956 99422424 125198608 140848434 187797912 198844848 211272651 281696868 375595824 422545302 563393736 845090604 1126787472 1690181208 3380362416