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3329028 = 22321931157
BaseRepresentation
bin1100101100110000000100
320021010120100
430230300010
51323012103
6155204100
740203423
oct14546004
96233510
103329028
11197416a
121146630
138c7351
146292ba
1545b5a3
hex32cc04

3329028 has 72 divisors (see below), whose sum is σ = 9201920. Its totient is φ = 1010880.

The previous prime is 3329023. The next prime is 3329033. The reversal of 3329028 is 8209233.

It is an interprime number because it is at equal distance from previous prime (3329023) and next prime (3329033).

It is a super-2 number, since 2×33290282 = 22164854849568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3328992 and 3329010.

It is not an unprimeable number, because it can be changed into a prime (3329023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21126 + ... + 21282.

Almost surely, 23329028 is an apocalyptic number.

3329028 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 3329028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4600960).

3329028 is an abundant number, since it is smaller than the sum of its proper divisors (5872892).

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

3329028 is a wasteful number, since it uses less digits than its factorization.

3329028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 212 counting only the distinct ones).

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

The square root of 3329028 is about 1824.5624132926. The cubic root of 3329028 is about 149.3158173723.

The spelling of 3329028 in words is "three million, three hundred twenty-nine thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 157 171 186 228 279 314 342 372 471 558 589 628 684 942 1116 1178 1413 1767 1884 2356 2826 2983 3534 4867 5301 5652 5966 7068 8949 9734 10602 11932 14601 17898 19468 21204 26847 29202 35796 43803 53694 58404 87606 92473 107388 175212 184946 277419 369892 554838 832257 1109676 1664514 3329028