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3241041432 = 23317191572663
BaseRepresentation
bin1100000100101110…
…0101111000011000
322100212120222000120
43001023211320120
523114201311212
61253334433240
7143213253246
oct30113457030
98325528016
103241041432
111413535442
12765502820
133c860b3c5
1422a62d796
1513e80888c
hexc12e5e18

3241041432 has 128 divisors (see below), whose sum is σ = 9091699200. Its totient is φ = 956786688.

The previous prime is 3241041407. The next prime is 3241041443. The reversal of 3241041432 is 2341401423.

It is a super-2 number, since 2×32410414322 = 21008699127881221248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1215733 + ... + 1218395.

It is an arithmetic number, because the mean of its divisors is an integer number (71028900).

Almost surely, 23241041432 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 3241041432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4545849600).

3241041432 is an abundant number, since it is smaller than the sum of its proper divisors (5850657768).

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

3241041432 is a wasteful number, since it uses less digits than its factorization.

3241041432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3241041432 is about 56930.1451956694. The cubic root of 3241041432 is about 1479.8857703413.

Adding to 3241041432 its reverse (2341401423), we get a palindrome (5582442855).

The spelling of 3241041432 in words is "three billion, two hundred forty-one million, forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 157 204 228 314 323 408 456 471 628 646 942 969 1256 1292 1884 1938 2584 2663 2669 2983 3768 3876 5326 5338 5966 7752 7989 8007 8949 10652 10676 11932 15978 16014 17898 21304 21352 23864 31956 32028 35796 45271 50597 50711 63912 64056 71592 90542 101194 101422 135813 151791 152133 181084 202388 202844 271626 303582 304266 362168 404776 405688 418091 543252 607164 608532 836182 860149 1086504 1214328 1217064 1254273 1672364 1720298 2508546 2580447 3344728 3440596 5017092 5160894 6881192 7107547 7943729 10034184 10321788 14215094 15887458 20643576 21322641 23831187 28430188 31774916 42645282 47662374 56860376 63549832 85290564 95324748 135043393 170581128 190649496 270086786 405130179 540173572 810260358 1080347144 1620520716 3241041432