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132320034 = 2337113263
BaseRepresentation
bin1111110001100…
…00101100100010
3100012222112222000
413320300230202
5232333220114
621044024430
73164462460
oct770605442
9305875860
10132320034
1168767000
1238392116
132154b7a2
1413805830
15b93ae09
hex7e30b22

132320034 has 128 divisors (see below), whose sum is σ = 371036160. Its totient is φ = 34238160.

The previous prime is 132320021. The next prime is 132320053. The reversal of 132320034 is 430023231.

It is a super-2 number, since 2×1323200342 = 35017182795522312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132319989 and 132320016.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 502987 + ... + 503249.

It is an arithmetic number, because the mean of its divisors is an integer number (2898720).

Almost surely, 2132320034 is an apocalyptic number.

132320034 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 132320034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185518080).

132320034 is an abundant number, since it is smaller than the sum of its proper divisors (238716126).

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

132320034 is a wasteful number, since it uses less digits than its factorization.

132320034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 132320034 is about 11503.0445535084. The cubic root of 132320034 is about 509.5754945059.

Adding to 132320034 its reverse (430023231), we get a palindrome (562343265).

The spelling of 132320034 in words is "one hundred thirty-two million, three hundred twenty thousand, thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 121 126 154 189 198 231 242 263 297 363 378 462 526 594 693 726 789 847 1089 1331 1386 1578 1694 1841 2079 2178 2367 2541 2662 2893 3267 3682 3993 4158 4734 5082 5523 5786 6534 7101 7623 7986 8679 9317 11046 11979 14202 15246 16569 17358 18634 20251 22869 23958 26037 27951 31823 33138 35937 40502 45738 49707 52074 55902 60753 63646 71874 78111 83853 95469 99414 121506 156222 167706 182259 190938 222761 251559 286407 350053 364518 445522 503118 546777 572814 668283 700106 859221 1050159 1093554 1336566 1718442 2004849 2100318 2450371 3150477 4009698 4900742 6014547 6300954 7351113 9451431 12029094 14702226 18902862 22053339 44106678 66160017 132320034