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132334104 = 23372131859
BaseRepresentation
bin1111110001101…
…00001000011000
3100020000021021010
413320310020120
5232334142404
621044213520
73164551500
oct770641030
9306007233
10132334104
1168776631
123839a2a0
1321555006
141380aa00
15b940189
hex7e34218

132334104 has 96 divisors (see below), whose sum is σ = 388238400. Its totient is φ = 37477440.

The previous prime is 132334073. The next prime is 132334123. The reversal of 132334104 is 401433231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153627 + ... + 154485.

It is an arithmetic number, because the mean of its divisors is an integer number (4044150).

Almost surely, 2132334104 is an apocalyptic number.

132334104 is a gapful number since it is divisible by the number (14) 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 132334104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194119200).

132334104 is an abundant number, since it is smaller than the sum of its proper divisors (255904296).

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

132334104 is a wasteful number, since it uses less digits than its factorization.

132334104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 132334104 is about 11503.6561144707. The cubic root of 132334104 is about 509.5935554472.

Adding to 132334104 its reverse (401433231), we get a palindrome (533767335).

The spelling of 132334104 in words is "one hundred thirty-two million, three hundred thirty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 131 147 168 196 262 294 392 393 524 588 786 859 917 1048 1176 1572 1718 1834 2577 2751 3144 3436 3668 5154 5502 6013 6419 6872 7336 10308 11004 12026 12838 18039 19257 20616 22008 24052 25676 36078 38514 42091 48104 51352 72156 77028 84182 112529 126273 144312 154056 168364 225058 252546 336728 337587 450116 505092 675174 787703 900232 1010184 1350348 1575406 2363109 2700696 3150812 4726218 5513921 6301624 9452436 11027842 16541763 18904872 22055684 33083526 44111368 66167052 132334104