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3542223432 = 2331131479209
BaseRepresentation
bin1101001100100010…
…0000101001001000
3100010212022121001110
43103020200221020
524223302122212
61343254050320
7153531255006
oct32310405110
910125277043
103542223432
111558546990
1282a3499a0
13445b311c7
1425862da76
1515ae9ca3c
hexd3220a48

3542223432 has 128 divisors (see below), whose sum is σ = 10185523200. Its totient is φ = 1016563200.

The previous prime is 3542223431. The next prime is 3542223449. The reversal of 3542223432 is 2343222453.

It is a happy number.

It is a super-3 number, since 3×35422234323 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3542223432.

It is not an unprimeable number, because it can be changed into a prime (3542223431) 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, 380044 + ... + 389252.

It is an arithmetic number, because the mean of its divisors is an integer number (79574400).

Almost surely, 23542223432 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 3542223432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5092761600).

3542223432 is an abundant number, since it is smaller than the sum of its proper divisors (6643299768).

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

3542223432 is a wasteful number, since it uses less digits than its factorization.

3542223432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9307 (or 9303 counting only the distinct ones).

The product of its digits is 34560, while the sum is 30.

The square root of 3542223432 is about 59516.5811518101. The cubic root of 3542223432 is about 1524.3755834050.

Adding to 3542223432 its reverse (2343222453), we get a palindrome (5885445885).

The spelling of 3542223432 in words is "three billion, five hundred forty-two million, two hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 47 62 66 88 93 94 124 132 141 186 188 248 264 282 341 372 376 517 564 682 744 1023 1034 1128 1364 1457 1551 2046 2068 2728 2914 3102 4092 4136 4371 5828 6204 8184 8742 9209 11656 12408 16027 17484 18418 27627 32054 34968 36836 48081 55254 64108 73672 96162 101299 110508 128216 192324 202598 221016 285479 303897 384648 405196 432823 570958 607794 810392 856437 865646 1141916 1215588 1298469 1712874 1731292 2283832 2431176 2596938 3140269 3425748 3462584 4761053 5193876 6280538 6851496 9420807 9522106 10387752 12561076 13417513 14283159 18841614 19044212 25122152 26835026 28566318 37683228 38088424 40252539 53670052 57132636 75366456 80505078 107340104 114265272 147592643 161010156 295185286 322020312 442777929 590370572 885555858 1180741144 1771111716 3542223432