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423456 = 25311401
BaseRepresentation
bin1100111011000100000
3210111212120
41213120200
5102022311
613024240
73412365
oct1473040
9714776
10423456
1126a170
12185080
1311a987
14b046c
1585706
hex67620

423456 has 48 divisors (see below), whose sum is σ = 1215648. Its totient is φ = 128000.

The previous prime is 423439. The next prime is 423457. The reversal of 423456 is 654324.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 423456.

It is not an unprimeable number, because it can be changed into a prime (423457) by changing a digit.

423456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 856 + ... + 1256.

It is an arithmetic number, because the mean of its divisors is an integer number (25326).

2423456 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 423456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607824).

423456 is an abundant number, since it is smaller than the sum of its proper divisors (792192).

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

423456 is a wasteful number, since it uses less digits than its factorization.

423456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 417 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 423456 is about 650.7349690926. The cubic root of 423456 is about 75.0935720972.

The spelling of 423456 in words is "four hundred twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 401 528 802 1056 1203 1604 2406 3208 4411 4812 6416 8822 9624 12832 13233 17644 19248 26466 35288 38496 52932 70576 105864 141152 211728 423456