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3045936 = 243233189
BaseRepresentation
bin1011100111101000110000
312201202020110
423213220300
51234432221
6145141320
734614165
oct13475060
95652213
103045936
1117a0503
12102a840
1382853a
1459406c
15402776
hex2e7a30

3045936 has 80 divisors (see below), whose sum is σ = 8570880. Its totient is φ = 929280.

The previous prime is 3045919. The next prime is 3045937. The reversal of 3045936 is 6395403.

It is a happy number.

3045936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30459362 = 18555452232192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3045937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34180 + ... + 34268.

It is an arithmetic number, because the mean of its divisors is an integer number (107136).

Almost surely, 23045936 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 3045936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285440).

3045936 is an abundant number, since it is smaller than the sum of its proper divisors (5524944).

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

3045936 is a wasteful number, since it uses less digits than its factorization.

3045936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 3045936 is about 1745.2610119979. The cubic root of 3045936 is about 144.9573556720.

The spelling of 3045936 in words is "three million, forty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 46 48 62 69 89 92 93 124 138 178 184 186 248 267 276 356 368 372 496 534 552 712 713 744 1068 1104 1424 1426 1488 2047 2136 2139 2759 2852 4094 4272 4278 5518 5704 6141 8188 8277 8556 11036 11408 12282 16376 16554 17112 22072 24564 32752 33108 34224 44144 49128 63457 66216 98256 126914 132432 190371 253828 380742 507656 761484 1015312 1522968 3045936