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3684790928 = 247133768399
BaseRepresentation
bin1101101110100001…
…0111001010010000
3100111210120202220002
43123220113022100
530021301302203
61405345505132
7160212130460
oct33350271220
910453522802
103684790928
111620a71a65
1286a0421a8
1346952a080
1426d541ba0
1516875ed88
hexdba17290

3684790928 has 80 divisors (see below), whose sum is σ = 9024422400. Its totient is φ = 1418300928.

The previous prime is 3684790927. The next prime is 3684790931. The reversal of 3684790928 is 8290974863.

It is a happy number.

It is a super-2 number, since 2×36847909282 = 27155368366142202368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (3684790927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19673 + ... + 88071.

It is an arithmetic number, because the mean of its divisors is an integer number (112805280).

Almost surely, 23684790928 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 3684790928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4512211200).

3684790928 is an abundant number, since it is smaller than the sum of its proper divisors (5339631472).

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

3684790928 is a wasteful number, since it uses less digits than its factorization.

3684790928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68464 (or 68458 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 56.

The square root of 3684790928 is about 60702.4787632268. The cubic root of 3684790928 is about 1544.5582225414.

The spelling of 3684790928 in words is "three billion, six hundred eighty-four million, seven hundred ninety thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 37 52 56 74 91 104 112 148 182 208 259 296 364 481 518 592 728 962 1036 1456 1924 2072 3367 3848 4144 6734 7696 13468 26936 53872 68399 136798 273596 478793 547192 889187 957586 1094384 1778374 1915172 2530763 3556748 3830344 5061526 6224309 7113496 7660688 10123052 12448618 14226992 17715341 20246104 24897236 32899919 35430682 40492208 49794472 65799838 70861364 99588944 131599676 141722728 230299433 263199352 283445456 460598866 526398704 921197732 1842395464 3684790928