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3242401032 = 2331341475393
BaseRepresentation
bin1100000101000011…
…0001110100001000
322100222011001001010
43001100301310020
523120023313112
61253423523520
7143230645143
oct30120616410
98328131033
103242401032
111414283982
12765a595a0
133c89961c0
1422a8a505a
1513e9c663c
hexc1431d08

3242401032 has 128 divisors (see below), whose sum is σ = 9134415360. Its totient is φ = 952442880.

The previous prime is 3242401031. The next prime is 3242401061. The reversal of 3242401032 is 2301042423.

It is not an unprimeable number, because it can be changed into a prime (3242401031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 598528 + ... + 603920.

It is an arithmetic number, because the mean of its divisors is an integer number (71362620).

Almost surely, 23242401032 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 3242401032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567207680).

3242401032 is an abundant number, since it is smaller than the sum of its proper divisors (5892014328).

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

3242401032 is a wasteful number, since it uses less digits than its factorization.

3242401032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5503 (or 5499 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3242401032 is about 56942.0848933370. The cubic root of 3242401032 is about 1480.0926762029.

Adding to 3242401032 its reverse (2301042423), we get a palindrome (5543443455).

The spelling of 3242401032 in words is "three billion, two hundred forty-two million, four hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 47 52 78 82 94 104 123 141 156 164 188 246 282 312 328 376 492 533 564 611 984 1066 1128 1222 1599 1833 1927 2132 2444 3198 3666 3854 4264 4888 5393 5781 6396 7332 7708 10786 11562 12792 14664 15416 16179 21572 23124 25051 32358 43144 46248 50102 64716 70109 75153 100204 129432 140218 150306 200408 210327 221113 253471 280436 300612 420654 442226 506942 560872 601224 663339 760413 841308 884452 1013884 1326678 1520826 1682616 1768904 2027768 2653356 2874469 3041652 3295123 5306712 5748938 6083304 6590246 8623407 9885369 10392311 11497876 13180492 17246814 19770738 20784622 22995752 26360984 31176933 34493628 39541476 41569244 62353866 68987256 79082952 83138488 124707732 135100043 249415464 270200086 405300129 540400172 810600258 1080800344 1621200516 3242401032