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3004896 = 253113277
BaseRepresentation
bin1011011101100111100000
312122122221110
423131213200
51232124041
6144223320
734353426
oct13354740
95578843
103004896
111772694
12100ab40
1381295b
14583116
153e5516
hex2dd9e0

3004896 has 48 divisors (see below), whose sum is σ = 7986384. Its totient is φ = 989184.

The previous prime is 3004877. The next prime is 3004901. The reversal of 3004896 is 6984003.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10710 + ... + 10986.

It is an arithmetic number, because the mean of its divisors is an integer number (166383).

Almost surely, 23004896 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 3004896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3993192).

3004896 is an abundant number, since it is smaller than the sum of its proper divisors (4981488).

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

3004896 is a wasteful number, since it uses less digits than its factorization.

3004896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3004896 is about 1733.4635848497. The cubic root of 3004896 is about 144.3033727647.

Adding to 3004896 its sum of digits (30), we get a triangular number (3004926 = T2451).

Adding to 3004896 its reverse (6984003), we get a palindrome (9988899).

The spelling of 3004896 in words is "three million, four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 277 339 452 554 678 831 904 1108 1356 1662 1808 2216 2712 3324 3616 4432 5424 6648 8864 10848 13296 26592 31301 62602 93903 125204 187806 250408 375612 500816 751224 1001632 1502448 3004896