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332124104 = 231317199887
BaseRepresentation
bin10011110010111…
…100111111001000
3212010221122121202
4103302330333020
51140010432404
652542323332
711142002564
oct2362747710
9763848552
10332124104
11160525834
1293289548
1353a67850
14321766a4
151e25721e
hex13cbcfc8

332124104 has 64 divisors (see below), whose sum is σ = 747532800. Its totient is φ = 136664064.

The previous prime is 332124101. The next prime is 332124113. The reversal of 332124104 is 401421233.

It is a super-2 number, since 2×3321241042 = 220612840915605632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332124101) 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 15 ways as a sum of consecutive naturals, for example, 28649 + ... + 38535.

It is an arithmetic number, because the mean of its divisors is an integer number (11680200).

Almost surely, 2332124104 is an apocalyptic number.

332124104 is a gapful number since it is divisible by the number (34) 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 332124104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373766400).

332124104 is an abundant number, since it is smaller than the sum of its proper divisors (415408696).

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

332124104 is a wasteful number, since it uses less digits than its factorization.

332124104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9942 (or 9938 counting only the distinct ones).

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

The square root of 332124104 is about 18224.2723860241. The cubic root of 332124104 is about 692.5218256533.

Adding to 332124104 its reverse (401421233), we get a palindrome (733545337).

The spelling of 332124104 in words is "three hundred thirty-two million, one hundred twenty-four thousand, one hundred four".

Divisors: 1 2 4 8 13 17 19 26 34 38 52 68 76 104 136 152 221 247 323 442 494 646 884 988 1292 1768 1976 2584 4199 8398 9887 16796 19774 33592 39548 79096 128531 168079 187853 257062 336158 375706 514124 672316 751412 1028248 1344632 1502824 2185027 2442089 3193501 4370054 4884178 6387002 8740108 9768356 12774004 17480216 19536712 25548008 41515513 83031026 166062052 332124104