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3004272 = 243231673
BaseRepresentation
bin1011011101011101110000
312122122002100
423131131300
51232114042
6144220400
734351545
oct13353560
95578070
103004272
111772177
12100a700
1381259b
14582bcc
153e524c
hex2dd770

3004272 has 60 divisors (see below), whose sum is σ = 8691904. Its totient is φ = 967680.

The previous prime is 3004271. The next prime is 3004277. The reversal of 3004272 is 2724003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4128 + ... + 4800.

Almost surely, 23004272 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 3004272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345952).

3004272 is an abundant number, since it is smaller than the sum of its proper divisors (5687632).

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

3004272 is a wasteful number, since it uses less digits than its factorization.

3004272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 3004272 is about 1733.2835890298. The cubic root of 3004272 is about 144.2933833409.

Adding to 3004272 its reverse (2724003), we get a palindrome (5728275).

The spelling of 3004272 in words is "three million, four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 673 744 1116 1346 1488 2019 2232 2692 4038 4464 5384 6057 8076 10768 12114 16152 20863 24228 32304 41726 48456 62589 83452 96912 125178 166904 187767 250356 333808 375534 500712 751068 1001424 1502136 3004272