Search a number
-
+
1024325742 = 231128389191
BaseRepresentation
bin111101000011011…
…111100001101110
32122101110010202110
4331003133201232
54044211410432
6245350504450
734245424266
oct7503374156
92571403673
101024325742
11486229100
12247065126
131342a650b
149a0807a6
155edd8dcc
hex3d0df86e

1024325742 has 96 divisors (see below), whose sum is σ = 2316625920. Its totient is φ = 301628800.

The previous prime is 1024325737. The next prime is 1024325761. The reversal of 1024325742 is 2475234201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5362867 + ... + 5363057.

It is an arithmetic number, because the mean of its divisors is an integer number (24131520).

Almost surely, 21024325742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024325742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158312960).

1024325742 is an abundant number, since it is smaller than the sum of its proper divisors (1292300178).

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

1024325742 is a wasteful number, since it uses less digits than its factorization.

1024325742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 1024325742 is about 32005.0893140450. The cubic root of 1024325742 is about 1008.0437059816.

Adding to 1024325742 its reverse (2475234201), we get a palindrome (3499559943).

The spelling of 1024325742 in words is "one billion, twenty-four million, three hundred twenty-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 83 89 121 166 178 191 242 249 267 363 382 498 534 573 726 913 979 1146 1826 1958 2101 2739 2937 4202 5478 5874 6303 7387 10043 10769 12606 14774 15853 16999 20086 21538 22161 23111 30129 31706 32307 33998 44322 46222 47559 50997 60258 64614 69333 81257 95118 101994 138666 162514 174383 186989 243771 348766 373978 487542 523149 560967 893827 1046298 1121934 1410917 1787654 1918213 2056879 2681481 2821834 3836426 4113758 4232751 5362962 5754639 6170637 8465502 11509278 12341274 15520087 31040174 46560261 93120522 170720957 341441914 512162871 1024325742