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3421424032 = 251347174991
BaseRepresentation
bin1100101111101110…
…1100100110100000
322211110000100102121
43023323230212200
524001341032112
61323300554024
7150533424115
oct31373544640
98743010377
103421424032
1114a6339574
127b59b2914
13426ab7480
1424658690c
1515058a407
hexcbeec9a0

3421424032 has 48 divisors (see below), whose sum is σ = 7408461312. Its totient is φ = 1545511680.

The previous prime is 3421424021. The next prime is 3421424033. The reversal of 3421424032 is 2304241243.

It is a happy number.

It is a super-3 number, since 3×34214240323 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3421423988 and 3421424006.

It is not an unprimeable number, because it can be changed into a prime (3421424033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67944 + ... + 107047.

It is an arithmetic number, because the mean of its divisors is an integer number (154342944).

Almost surely, 23421424032 is an apocalyptic number.

3421424032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3421424032 is an abundant number, since it is smaller than the sum of its proper divisors (3987037280).

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

3421424032 is a wasteful number, since it uses less digits than its factorization.

3421424032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175061 (or 175053 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 3421424032 is about 58492.9400184330. The cubic root of 3421424032 is about 1506.8463385943.

Adding to 3421424032 its reverse (2304241243), we get a palindrome (5725665275).

The spelling of 3421424032 in words is "three billion, four hundred twenty-one million, four hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 47 52 94 104 188 208 376 416 611 752 1222 1504 2444 4888 9776 19552 174991 349982 699964 1399928 2274883 2799856 4549766 5599712 8224577 9099532 16449154 18199064 32898308 36398128 65796616 72796256 106919501 131593232 213839002 263186464 427678004 855356008 1710712016 3421424032