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332114024 = 231121033331
BaseRepresentation
bin10011110010111…
…010100001101000
3212010221010210102
4103302322201220
51140010122044
652542204532
711141631314
oct2362724150
9763833712
10332114024
11160519200
1293283748
1353a63098
1432172b44
151e25424e
hex13cba868

332114024 has 48 divisors (see below), whose sum is σ = 691323360. Its totient is φ = 149450400.

The previous prime is 332114021. The next prime is 332114051. The reversal of 332114024 is 420411233.

332114024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3321140242 = 220599449874945152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332113987 and 332114005.

It is not an unprimeable number, because it can be changed into a prime (332114021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98039 + ... + 101369.

It is an arithmetic number, because the mean of its divisors is an integer number (14402570).

Almost surely, 2332114024 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 332114024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345661680).

332114024 is an abundant number, since it is smaller than the sum of its proper divisors (359209336).

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

332114024 is a wasteful number, since it uses less digits than its factorization.

332114024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 3447 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 332114024 is about 18223.9958296747. The cubic root of 332114024 is about 692.5148195467.

Adding to 332114024 its reverse (420411233), we get a palindrome (752525257).

The spelling of 332114024 in words is "three hundred thirty-two million, one hundred fourteen thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 103 121 206 242 412 484 824 968 1133 2266 3331 4532 6662 9064 12463 13324 24926 26648 36641 49852 73282 99704 146564 293128 343093 403051 686186 806102 1372372 1612204 2744744 3224408 3774023 7548046 15096092 30192184 41514253 83028506 166057012 332114024