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3103422432 = 2531112012447
BaseRepresentation
bin1011100011111010…
…0111011111100000
322000021122012020120
42320332213133200
522323434004212
61231541040240
7136622440545
oct27076473740
98007565216
103103422432
11135288a230
127273b6080
133a5c55a46
14216248bcc
151326c288c
hexb8fa77e0

3103422432 has 96 divisors (see below), whose sum is σ = 8898107904. Its totient is φ = 939264000.

The previous prime is 3103422401. The next prime is 3103422449. The reversal of 3103422432 is 2342243013.

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

It is a super-3 number, since 3×31034224323 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1267033 + ... + 1269479.

It is an arithmetic number, because the mean of its divisors is an integer number (92688624).

Almost surely, 23103422432 is an apocalyptic number.

3103422432 is a gapful number since it is divisible by the number (32) 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 3103422432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4449053952).

3103422432 is an abundant number, since it is smaller than the sum of its proper divisors (5794685472).

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

3103422432 is a wasteful number, since it uses less digits than its factorization.

3103422432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3103422432 is about 55708.3694968718. The cubic root of 3103422432 is about 1458.6361242022.

Adding to 3103422432 its reverse (2342243013), we get a palindrome (5445665445).

The spelling of 3103422432 in words is "three billion, one hundred three million, four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1201 2402 2447 3603 4804 4894 7206 7341 9608 9788 13211 14412 14682 19216 19576 26422 26917 28824 29364 38432 39152 39633 52844 53834 57648 58728 78304 79266 80751 105688 107668 115296 117456 158532 161502 211376 215336 234912 317064 323004 422752 430672 634128 646008 861344 1268256 1292016 2584032 2938847 5877694 8816541 11755388 17633082 23510776 32327317 35266164 47021552 64654634 70532328 94043104 96981951 129309268 141064656 193963902 258618536 282129312 387927804 517237072 775855608 1034474144 1551711216 3103422432