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3848328 = 23321143113
BaseRepresentation
bin1110101011100010001000
321020111220200
432223202020
51441121303
6214252200
744465421
oct16534210
97214820
103848328
112199340
121357060
13a49823
14722648
155103a3
hex3ab888

3848328 has 96 divisors (see below), whose sum is σ = 11737440. Its totient is φ = 1128960.

The previous prime is 3848303. The next prime is 3848347. The reversal of 3848328 is 8238483.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3848292 and 3848301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34000 + ... + 34112.

It is an arithmetic number, because the mean of its divisors is an integer number (122265).

Almost surely, 23848328 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 3848328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5868720).

3848328 is an abundant number, since it is smaller than the sum of its proper divisors (7889112).

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

3848328 is a wasteful number, since it uses less digits than its factorization.

3848328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 172 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 3848328 is about 1961.7155757143. The cubic root of 3848328 is about 156.7078288301.

The spelling of 3848328 in words is "three million, eight hundred forty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 43 44 66 72 86 88 99 113 129 132 172 198 226 258 264 339 344 387 396 452 473 516 678 774 792 904 946 1017 1032 1243 1356 1419 1548 1892 2034 2486 2712 2838 3096 3729 3784 4068 4257 4859 4972 5676 7458 8136 8514 9718 9944 11187 11352 14577 14916 17028 19436 22374 29154 29832 34056 38872 43731 44748 53449 58308 87462 89496 106898 116616 160347 174924 213796 320694 349848 427592 481041 641388 962082 1282776 1924164 3848328