Search a number
-
+
3045504 = 273711103
BaseRepresentation
bin1011100111100010000000
312201201122110
423213202000
51234424004
6145135320
734613010
oct13474200
95651573
103045504
1117a0150
12102a540
13828297
14593c40
15402589
hex2e7880

3045504 has 128 divisors (see below), whose sum is σ = 10183680. Its totient is φ = 783360.

The previous prime is 3045503. The next prime is 3045563. The reversal of 3045504 is 4055403.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×30455042 = 18550189228032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3045503) 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, 29517 + ... + 29619.

It is an arithmetic number, because the mean of its divisors is an integer number (79560).

Almost surely, 23045504 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 3045504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5091840).

3045504 is an abundant number, since it is smaller than the sum of its proper divisors (7138176).

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

3045504 is a wasteful number, since it uses less digits than its factorization.

3045504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 3045504 is about 1745.1372438866. The cubic root of 3045504 is about 144.9505023284.

The spelling of 3045504 in words is "three million, forty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 103 112 128 132 154 168 176 192 206 224 231 264 308 309 336 352 384 412 448 462 528 616 618 672 704 721 824 896 924 1056 1133 1232 1236 1344 1408 1442 1648 1848 2112 2163 2266 2464 2472 2688 2884 3296 3399 3696 4224 4326 4532 4928 4944 5768 6592 6798 7392 7931 8652 9064 9856 9888 11536 13184 13596 14784 15862 17304 18128 19776 23072 23793 27192 29568 31724 34608 36256 39552 46144 47586 54384 63448 69216 72512 92288 95172 108768 126896 138432 145024 190344 217536 253792 276864 380688 435072 507584 761376 1015168 1522752 3045504