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3830602368 = 273431132053
BaseRepresentation
bin1110010001010010…
…0101101010000000
3100212221221202120210
43210110211222000
530321113233433
61432035034120
7163632403635
oct34424455200
910787852523
103830602368
11169630328a
128aaa3b940
134907c0628
14284a5a18c
15176463463
hexe4525a80

3830602368 has 128 divisors (see below), whose sum is σ = 10508921280. Its totient is φ = 1235533824.

The previous prime is 3830602361. The next prime is 3830602379. The reversal of 3830602368 is 8632060383.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3830602361) 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, 1864830 + ... + 1866882.

Almost surely, 23830602368 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 3830602368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5254460640).

3830602368 is an abundant number, since it is smaller than the sum of its proper divisors (6678318912).

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

3830602368 is a wasteful number, since it uses less digits than its factorization.

3830602368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 3830602368 is about 61891.8602725754. The cubic root of 3830602368 is about 1564.6685655389.

The spelling of 3830602368 in words is "three billion, eight hundred thirty million, six hundred two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 113 128 129 172 192 226 258 339 344 384 452 516 678 688 904 1032 1356 1376 1808 2053 2064 2712 2752 3616 4106 4128 4859 5424 5504 6159 7232 8212 8256 9718 10848 12318 14464 14577 16424 16512 19436 21696 24636 29154 32848 38872 43392 49272 58308 65696 77744 88279 98544 116616 131392 155488 176558 197088 231989 233232 262784 264837 310976 353116 394176 463978 466464 529674 621952 695967 706232 788352 927956 932928 1059348 1391934 1412464 1855912 1865856 2118696 2783868 2824928 3711824 4237392 5567736 5649856 7423648 8474784 9975527 11135472 11299712 14847296 16949568 19951054 22270944 29694592 29926581 33899136 39902108 44541888 59853162 79804216 89083776 119706324 159608432 239412648 319216864 478825296 638433728 957650592 1276867456 1915301184 3830602368