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134420352 = 273113263
BaseRepresentation
bin10000000001100…
…01011110000000
3100100221021001120
420000301132000
5233402422402
621201032240
73221361033
oct1000613600
9310837046
10134420352
1169971000
1239025680
1321b05791
1413bd101a
15bc033bc
hex8031780

134420352 has 128 divisors (see below), whose sum is σ = 394225920. Its totient is φ = 40578560.

The previous prime is 134420347. The next prime is 134420353. The reversal of 134420352 is 253024431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134420353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510973 + ... + 511235.

It is an arithmetic number, because the mean of its divisors is an integer number (3079890).

Almost surely, 2134420352 is an apocalyptic number.

134420352 is a gapful number since it is divisible by the number (12) 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 134420352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197112960).

134420352 is an abundant number, since it is smaller than the sum of its proper divisors (259805568).

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

134420352 is an equidigital number, since it uses as much as digits as its factorization.

134420352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 134420352 is about 11593.9791271159. The cubic root of 134420352 is about 512.2575201932.

Adding to 134420352 its reverse (253024431), we get a palindrome (387444783).

The spelling of 134420352 in words is "one hundred thirty-four million, four hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 263 264 352 363 384 484 526 528 704 726 789 968 1052 1056 1331 1408 1452 1578 1936 2104 2112 2662 2893 2904 3156 3872 3993 4208 4224 5324 5786 5808 6312 7744 7986 8416 8679 10648 11572 11616 12624 15488 15972 16832 17358 21296 23144 23232 25248 31823 31944 33664 34716 42592 46288 46464 50496 63646 63888 69432 85184 92576 95469 100992 127292 127776 138864 170368 185152 190938 254584 255552 277728 350053 370304 381876 509168 511104 555456 700106 763752 1018336 1050159 1110912 1400212 1527504 2036672 2100318 2800424 3055008 4073344 4200636 5600848 6110016 8401272 11201696 12220032 16802544 22403392 33605088 44806784 67210176 134420352