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1432640034 = 23573731129
BaseRepresentation
bin101010101100100…
…0101101000100010
310200211202122200000
41111121011220202
510413223440114
6354054240430
750334145050
oct12531055042
93624678600
101432640034
11675762731
1233b956116
1319aa692c7
14d83ab1d0
1585b90e09
hex55645a22

1432640034 has 96 divisors (see below), whose sum is σ = 3692008320. Its totient is φ = 407866752.

The previous prime is 1432640023. The next prime is 1432640039. The reversal of 1432640034 is 4300462341.

1432640034 is a `hidden beast` number, since 14 + 3 + 2 + 640 + 0 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1432640039) 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 47 ways as a sum of consecutive naturals, for example, 1268382 + ... + 1269510.

It is an arithmetic number, because the mean of its divisors is an integer number (38458420).

Almost surely, 21432640034 is an apocalyptic number.

1432640034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1432640034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846004160).

1432640034 is an abundant number, since it is smaller than the sum of its proper divisors (2259368286).

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

1432640034 is a wasteful number, since it uses less digits than its factorization.

1432640034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1432640034 is about 37850.2316241262. The cubic root of 1432640034 is about 1127.3160606064.

The spelling of 1432640034 in words is "one billion, four hundred thirty-two million, six hundred forty thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 373 378 486 567 746 1119 1129 1134 1701 2238 2258 2611 3357 3387 3402 5222 6714 6774 7833 7903 10071 10161 15666 15806 20142 20322 23499 23709 30213 30483 46998 47418 60426 60966 70497 71127 90639 91449 140994 142254 181278 182898 211491 213381 274347 421117 422982 426762 548694 634473 640143 842234 1263351 1268946 1280286 1920429 2526702 2947819 3790053 3840858 5895638 7580106 8843457 11370159 17686914 22740318 26530371 34110477 53060742 68220954 79591113 102331431 159182226 204662862 238773339 477546678 716320017 1432640034