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134443392 = 2731918427
BaseRepresentation
bin10000000001101…
…11000110000000
3100100222102122220
420000313012000
5233404142032
621201331040
73221515146
oct1000670600
9310872586
10134443392
1169987346
1239036a80
1321b13105
1413bd9596
15bc0a12c
hex8037180

134443392 has 64 divisors (see below), whose sum is σ = 375931200. Its totient is φ = 42453504.

The previous prime is 134443367. The next prime is 134443409. The reversal of 134443392 is 293344431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1918 + ... + 16509.

It is an arithmetic number, because the mean of its divisors is an integer number (5873925).

Almost surely, 2134443392 is an apocalyptic number.

134443392 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 134443392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187965600).

134443392 is an abundant number, since it is smaller than the sum of its proper divisors (241487808).

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

134443392 is a wasteful number, since it uses less digits than its factorization.

134443392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18463 (or 18451 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 134443392 is about 11594.9727037195. The cubic root of 134443392 is about 512.2867859475.

It can be divided in two parts, 13444 and 3392, that added together give a triangular number (16836 = T183).

The spelling of 134443392 in words is "one hundred thirty-four million, four hundred forty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 18427 36854 55281 73708 110562 147416 221124 294832 350113 442248 589664 700226 884496 1050339 1179328 1400452 1768992 2100678 2358656 2800904 3537984 4201356 5601808 7075968 8402712 11203616 16805424 22407232 33610848 44814464 67221696 134443392