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3683620824 = 2331328341719
BaseRepresentation
bin1101101110001111…
…1001011111011000
3100111201101022210220
43123203321133120
530021001331244
61405304440040
7160166155212
oct33343713730
910451338726
103683620824
111620342934
12869779020
1346920a5c0
1426d3195b2
151685cd319
hexdb8f97d8

3683620824 has 64 divisors (see below), whose sum is σ = 9952723200. Its totient is φ = 1129389696.

The previous prime is 3683620823. The next prime is 3683620891. The reversal of 3683620824 is 4280263863.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3683620823) 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, 67437 + ... + 109155.

It is an arithmetic number, because the mean of its divisors is an integer number (155511300).

Almost surely, 23683620824 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 3683620824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976361600).

3683620824 is an abundant number, since it is smaller than the sum of its proper divisors (6269102376).

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

3683620824 is a wasteful number, since it uses less digits than its factorization.

3683620824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42024 (or 42020 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 3683620824 is about 60692.8399730973. The cubic root of 3683620824 is about 1544.3947139349.

The spelling of 3683620824 in words is "three billion, six hundred eighty-three million, six hundred twenty thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 283 312 566 849 1132 1698 2264 3396 3679 6792 7358 11037 14716 22074 29432 41719 44148 83438 88296 125157 166876 250314 333752 500628 542347 1001256 1084694 1627041 2169388 3254082 4338776 6508164 11806477 13016328 23612954 35419431 47225908 70838862 94451816 141677724 153484201 283355448 306968402 460452603 613936804 920905206 1227873608 1841810412 3683620824