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134934744 = 23372347743
BaseRepresentation
bin10000000101011…
…11000011011000
3100101220101200010
420002233003120
5234020402434
621220041520
73225632520
oct1002570330
9311811603
10134934744
116a19251a
12392332a0
1321c55959
1413cc6680
15bca59e9
hex80af0d8

134934744 has 128 divisors (see below), whose sum is σ = 411402240. Its totient is φ = 36043392.

The previous prime is 134934743. The next prime is 134934757. The reversal of 134934744 is 447439431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134934743) 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, 181237 + ... + 181979.

It is an arithmetic number, because the mean of its divisors is an integer number (3214080).

Almost surely, 2134934744 is an apocalyptic number.

134934744 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 134934744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205701120).

134934744 is an abundant number, since it is smaller than the sum of its proper divisors (276467496).

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

134934744 is a wasteful number, since it uses less digits than its factorization.

134934744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 825 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 134934744 is about 11616.1415280634. The cubic root of 134934744 is about 512.9101142440.

The spelling of 134934744 in words is "one hundred thirty-four million, nine hundred thirty-four thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 47 56 69 84 92 94 138 141 161 168 184 188 276 282 322 329 376 483 552 564 644 658 743 966 987 1081 1128 1288 1316 1486 1932 1974 2162 2229 2632 2972 3243 3864 3948 4324 4458 5201 5944 6486 7567 7896 8648 8916 10402 12972 15134 15603 17089 17832 20804 22701 25944 30268 31206 34178 34921 41608 45402 51267 60536 62412 68356 69842 90804 102534 104763 119623 124824 136712 139684 181608 205068 209526 239246 244447 279368 358869 410136 419052 478492 488894 717738 733341 803183 838104 956984 977788 1435476 1466682 1606366 1955576 2409549 2870952 2933364 3212732 4819098 5622281 5866728 6425464 9638196 11244562 16866843 19276392 22489124 33733686 44978248 67467372 134934744