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3000403104 = 253294872213
BaseRepresentation
bin1011001011010110…
…1000010010100000
321202002210021021220
42302311220102200
522121100344404
61213421015040
7134232001626
oct26265502240
97662707256
103000403104
1112aa716296
126b89b4480
1338a7c5b6a
142066ad516
151286234d9
hexb2d684a0

3000403104 has 96 divisors (see below), whose sum is σ = 8168065920. Its totient is φ = 963228672.

The previous prime is 3000403079. The next prime is 3000403111. The reversal of 3000403104 is 4013040003.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1354702 + ... + 1356914.

It is an arithmetic number, because the mean of its divisors is an integer number (85084020).

Almost surely, 23000403104 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 3000403104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084032960).

3000403104 is an abundant number, since it is smaller than the sum of its proper divisors (5167662816).

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

3000403104 is a wasteful number, since it uses less digits than its factorization.

3000403104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3000403104 is about 54775.9354461428. The cubic root of 3000403104 is about 1442.3141648111.

Adding to 3000403104 its reverse (4013040003), we get a palindrome (7013443107).

The spelling of 3000403104 in words is "three billion, four hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 487 696 928 974 1392 1461 1948 2213 2784 2922 3896 4426 5844 6639 7792 8852 11688 13278 14123 15584 17704 23376 26556 28246 35408 42369 46752 53112 56492 64177 70816 84738 106224 112984 128354 169476 192531 212448 225968 256708 338952 385062 451936 513416 677904 770124 1026832 1077731 1355808 1540248 2053664 2155462 3080496 3233193 4310924 6160992 6466386 8621848 12932772 17243696 25865544 31254199 34487392 51731088 62508398 93762597 103462176 125016796 187525194 250033592 375050388 500067184 750100776 1000134368 1500201552 3000403104