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134214234 = 23721147883
BaseRepresentation
bin1111111111111…
…11001001011010
3100100112210022120
413333333021122
5233324323414
621152402110
73216542100
oct777771132
9310483276
10134214234
1169840160
1238b46336
1321a62a0b
1413b79c70
15bbb22a9
hex7fff25a

134214234 has 96 divisors (see below), whose sum is σ = 348281856. Its totient is φ = 34080480.

The previous prime is 134214229. The next prime is 134214251. The reversal of 134214234 is 432412431.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151557 + ... + 152439.

It is an arithmetic number, because the mean of its divisors is an integer number (3627936).

Almost surely, 2134214234 is an apocalyptic number.

134214234 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 134214234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174140928).

134214234 is an abundant number, since it is smaller than the sum of its proper divisors (214067622).

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

134214234 is a wasteful number, since it uses less digits than its factorization.

134214234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 953 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 134214234 is about 11585.0867066242. The cubic root of 134214234 is about 511.9955571107.

Adding to 134214234 its reverse (432412431), we get a palindrome (566626665).

It can be divided in two parts, 1342 and 14234, that added together give a triangular number (15576 = T176).

The spelling of 134214234 in words is "one hundred thirty-four million, two hundred fourteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 47 49 66 77 94 98 141 147 154 231 282 294 329 462 517 539 658 883 987 1034 1078 1551 1617 1766 1974 2303 2649 3102 3234 3619 4606 5298 6181 6909 7238 9713 10857 12362 13818 18543 19426 21714 25333 29139 37086 41501 43267 50666 58278 67991 75999 83002 86534 124503 129801 135982 151998 203973 249006 259602 290507 407946 456511 475937 581014 871521 913022 951874 1369533 1427811 1743042 2033549 2739066 2855622 3195577 4067098 6100647 6391154 9586731 12201294 19173462 22369039 44738078 67107117 134214234