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1942304 = 257132329
BaseRepresentation
bin111011010001100100000
310122200100012
413122030200
5444123204
6105344052
722336460
oct7321440
93580305
101942304
111107311
12798028
135300c0
14387ba0
1528576e
hex1da320

1942304 has 96 divisors (see below), whose sum is σ = 5080320. Its totient is φ = 709632.

The previous prime is 1942273. The next prime is 1942307. The reversal of 1942304 is 4032491.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 1942304.

It is not an unprimeable number, because it can be changed into a prime (1942307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66962 + ... + 66990.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

21942304 is an apocalyptic number.

1942304 is a gapful number since it is divisible by the number (14) 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 1942304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160).

1942304 is an abundant number, since it is smaller than the sum of its proper divisors (3138016).

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

1942304 is a wasteful number, since it uses less digits than its factorization.

1942304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 1942304 is about 1393.6656700945. The cubic root of 1942304 is about 124.7687243565.

1942304 divided by its sum of digits (23) gives a palindrome (84448).

Adding to 1942304 its reverse (4032491), we get a palindrome (5974795).

The spelling of 1942304 in words is "one million, nine hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 29 32 46 52 56 58 91 92 104 112 116 161 182 184 203 208 224 232 299 322 364 368 377 406 416 464 598 644 667 728 736 754 812 928 1196 1288 1334 1456 1508 1624 2093 2392 2576 2639 2668 2912 3016 3248 4186 4669 4784 5152 5278 5336 6032 6496 8372 8671 9338 9568 10556 10672 12064 16744 17342 18676 21112 21344 33488 34684 37352 42224 60697 66976 69368 74704 84448 121394 138736 149408 242788 277472 485576 971152 1942304