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3029328 = 2432109193
BaseRepresentation
bin1011100011100101010000
312200220110100
423203211100
51233414303
6144532400
734514601
oct13434520
95626410
103029328
111789a85
121021100
13820b03
1458bda8
153ec8a3
hex2e3950

3029328 has 60 divisors (see below), whose sum is σ = 8600020. Its totient is φ = 995328.

The previous prime is 3029309. The next prime is 3029329. The reversal of 3029328 is 8239203.

It can be written as a sum of positive squares in 2 ways, for example, as 1411344 + 1617984 = 1188^2 + 1272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3029329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15600 + ... + 15792.

Almost surely, 23029328 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 3029328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300010).

3029328 is an abundant number, since it is smaller than the sum of its proper divisors (5570692).

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

3029328 is a wasteful number, since it uses less digits than its factorization.

3029328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3029328 is about 1740.4964808927. The cubic root of 3029328 is about 144.6934148431.

The spelling of 3029328 in words is "three million, twenty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 144 193 218 327 386 436 579 654 772 872 981 1158 1308 1544 1737 1744 1962 2316 2616 3088 3474 3924 4632 5232 6948 7848 9264 13896 15696 21037 27792 42074 63111 84148 126222 168296 189333 252444 336592 378666 504888 757332 1009776 1514664 3029328