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2132034432 = 273111313853
BaseRepresentation
bin111111100010100…
…0100001110000000
312111120210120102020
41333011010032000
513331300100212
6551320521440
7103555664553
oct17705041600
95446716366
102132034432
119a4529030
124b6020280
1327c925b48
1416322869a
15c7293d8c
hex7f144380

2132034432 has 128 divisors (see below), whose sum is σ = 6226830720. Its totient is φ = 640972800.

The previous prime is 2132034431. The next prime is 2132034449. The reversal of 2132034432 is 2344302312.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132034431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 551418 + ... + 555270.

It is an arithmetic number, because the mean of its divisors is an integer number (48647115).

Almost surely, 22132034432 is an apocalyptic number.

2132034432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113415360).

2132034432 is an abundant number, since it is smaller than the sum of its proper divisors (4094796288).

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

2132034432 is a wasteful number, since it uses less digits than its factorization.

2132034432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2132034432 is about 46173.9583748242. The cubic root of 2132034432 is about 1287.0578607129.

Adding to 2132034432 its reverse (2344302312), we get a palindrome (4476336744).

The spelling of 2132034432 in words is "two billion, one hundred thirty-two million, thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 131 132 176 192 262 264 352 384 393 524 528 704 786 1048 1056 1408 1441 1572 2096 2112 2882 3144 3853 4192 4224 4323 5764 6288 7706 8384 8646 11528 11559 12576 15412 16768 17292 23056 23118 25152 30824 34584 42383 46112 46236 50304 61648 69168 84766 92224 92472 123296 127149 138336 169532 184448 184944 246592 254298 276672 339064 369888 493184 504743 508596 553344 678128 739776 1009486 1017192 1356256 1479552 1514229 2018972 2034384 2712512 3028458 4037944 4068768 5425024 5552173 6056916 8075888 8137536 11104346 12113832 16151776 16275072 16656519 22208692 24227664 32303552 33313038 44417384 48455328 64607104 66626076 88834768 96910656 133252152 177669536 193821312 266504304 355339072 533008608 710678144 1066017216 2132034432