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416328 = 233111983
BaseRepresentation
bin1100101101001001000
3210011002120
41211221020
5101310303
612531240
73352533
oct1455110
9704076
10416328
11264880
12180b20
13117663
14aba1a
1583553
hex65a48

416328 has 64 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 118080.

The previous prime is 416291. The next prime is 416333. The reversal of 416328 is 823614.

It is a happy number.

416328 is nontrivially palindromic in base 7.

416328 is a nontrivial binomial coefficient, being equal to C(913, 2).

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

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a junction number, because it is equal to n+sod(n) for n = 416298 and 416307.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4975 + ... + 5057.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2416328 is an apocalyptic number.

416328 is the 912-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

416328 is an abundant number, since it is smaller than the sum of its proper divisors (793272).

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

416328 is a wasteful number, since it uses less digits than its factorization.

416328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 118 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 416328 is about 645.2348409688. The cubic root of 416328 is about 74.6698375921.

The spelling of 416328 in words is "four hundred sixteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 83 88 114 132 152 166 209 228 249 264 332 418 456 498 627 664 836 913 996 1254 1577 1672 1826 1992 2508 2739 3154 3652 4731 5016 5478 6308 7304 9462 10956 12616 17347 18924 21912 34694 37848 52041 69388 104082 138776 208164 416328