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332252928 = 283572109
BaseRepresentation
bin10011110011011…
…100011100000000
3212011012012100000
4103303130130000
51140024043203
652545200000
711143050300
oct2363343400
9764165300
10332252928
111606035a7
1293330000
1353ab1387
14321ab600
151e2804a3
hex13cdc700

332252928 has 324 divisors, whose sum is σ = 1166245080. Its totient is φ = 94058496.

The previous prime is 332252927. The next prime is 332252939. The reversal of 332252928 is 829252233.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×3322529282 = 220784016329146368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 332252892 and 332252901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332252923) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3048138 + ... + 3048246.

Almost surely, 2332252928 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 332252928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583122540).

332252928 is an abundant number, since it is smaller than the sum of its proper divisors (833992152).

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

332252928 is an equidigital number, since it uses as much as digits as its factorization.

332252928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 121 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 332252928 is about 18227.8064505853. The cubic root of 332252928 is about 692.6113523276.

The spelling of 332252928 in words is "three hundred thirty-two million, two hundred fifty-two thousand, nine hundred twenty-eight".