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1934496 = 25332239
BaseRepresentation
bin111011000010010100000
310122021122000
413120102200
5443400441
6105244000
722304634
oct7302240
93567560
101934496
111101463
12793600
13529695
14384dc4
152832b6
hex1d84a0

1934496 has 48 divisors (see below), whose sum is σ = 5644800. Its totient is φ = 644544.

The previous prime is 1934489. The next prime is 1934501. The reversal of 1934496 is 6944391.

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 (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1934496.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256 + ... + 1983.

It is an arithmetic number, because the mean of its divisors is an integer number (117600).

21934496 is an apocalyptic number.

1934496 is a gapful number since it is divisible by the number (16) 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 1934496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822400).

1934496 is an abundant number, since it is smaller than the sum of its proper divisors (3710304).

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

1934496 is a wasteful number, since it uses less digits than its factorization.

1934496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258 (or 2244 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 1934496 is about 1390.8616034674. The cubic root of 1934496 is about 124.6013110623.

The spelling of 1934496 in words is "one million, nine hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2239 4478 6717 8956 13434 17912 20151 26868 35824 40302 53736 60453 71648 80604 107472 120906 161208 214944 241812 322416 483624 644832 967248 1934496