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412296 = 23341419
BaseRepresentation
bin1100100101010001000
3202221120020
41210222020
5101143141
612500440
73335013
oct1445210
9687506
10412296
11261845
1217a720
13115881
14aa37a
1582266
hex64a88

412296 has 32 divisors (see below), whose sum is σ = 1058400. Its totient is φ = 133760.

The previous prime is 412289. The next prime is 412303. The reversal of 412296 is 692214.

It is an interprime number because it is at equal distance from previous prime (412289) and next prime (412303).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

412296 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 775 + ... + 1193.

It is an arithmetic number, because the mean of its divisors is an integer number (33075).

2412296 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 412296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529200).

412296 is an abundant number, since it is smaller than the sum of its proper divisors (646104).

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

412296 is a wasteful number, since it uses less digits than its factorization.

412296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 465 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 412296 is about 642.1027955086. The cubic root of 412296 is about 74.4280042572.

The spelling of 412296 in words is "four hundred twelve thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 419 492 838 984 1257 1676 2514 3352 5028 10056 17179 34358 51537 68716 103074 137432 206148 412296