Search a number
-
+
3034528 = 257192331
BaseRepresentation
bin1011100100110110100000
312201011120221
423210312200
51234101103
6145012424
734536010
oct13446640
95634527
103034528
111792982
121024114
138232a3
1458dc40
153ee1bd
hex2e4da0

3034528 has 96 divisors (see below), whose sum is σ = 7741440. Its totient is φ = 1140480.

The previous prime is 3034523. The next prime is 3034529. The reversal of 3034528 is 8254303.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3034523) 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, 97873 + ... + 97903.

It is an arithmetic number, because the mean of its divisors is an integer number (80640).

Almost surely, 23034528 is an apocalyptic number.

3034528 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3034528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870720).

3034528 is an abundant number, since it is smaller than the sum of its proper divisors (4706912).

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

3034528 is a wasteful number, since it uses less digits than its factorization.

3034528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 3034528 is about 1741.9896670187. The cubic root of 3034528 is about 144.7761587886.

The spelling of 3034528 in words is "three million, thirty-four thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 23 28 31 32 38 46 56 62 76 92 112 124 133 152 161 184 217 224 248 266 304 322 368 434 437 496 532 589 608 644 713 736 868 874 992 1064 1178 1288 1426 1736 1748 2128 2356 2576 2852 3059 3472 3496 4123 4256 4712 4991 5152 5704 6118 6944 6992 8246 9424 9982 11408 12236 13547 13984 16492 18848 19964 22816 24472 27094 32984 39928 48944 54188 65968 79856 94829 97888 108376 131936 159712 189658 216752 379316 433504 758632 1517264 3034528