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1042002324 = 2232119727127
BaseRepresentation
bin111110000110111…
…011000110010100
32200121201012110200
4332012323012110
54113223033244
6251221420500
734551605436
oct7606730624
92617635420
101042002324
11495201850
12250b6a730
13137b5522c
149c562656
156172b669
hex3e1bb194

1042002324 has 72 divisors (see below), whose sum is σ = 2903130048. Its totient is φ = 312491520.

The previous prime is 1042002323. The next prime is 1042002341. The reversal of 1042002324 is 4232002401.

1042002324 is a `hidden beast` number, since 10 + 420 + 0 + 232 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1042002297 and 1042002306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042002323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24849 + ... + 51975.

Almost surely, 21042002324 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 1042002324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451565024).

1042002324 is an abundant number, since it is smaller than the sum of its proper divisors (1861127724).

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

1042002324 is a wasteful number, since it uses less digits than its factorization.

1042002324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27245 (or 27240 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1042002324 is about 32280.0607806119. The cubic root of 1042002324 is about 1013.8092028068.

Adding to 1042002324 its reverse (4232002401), we get a palindrome (5274004725).

The spelling of 1042002324 in words is "one billion, forty-two million, two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 97 99 132 194 198 291 388 396 582 873 1067 1164 1746 2134 3201 3492 4268 6402 9603 12804 19206 27127 38412 54254 81381 108508 162762 244143 298397 325524 488286 596794 895191 976572 1193588 1790382 2631319 2685573 3580764 5262638 5371146 7893957 10525276 10742292 15787914 23681871 28944509 31575828 47363742 57889018 86833527 94727484 115778036 173667054 260500581 347334108 521001162 1042002324