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134412048 = 2435181191
BaseRepresentation
bin10000000001011…
…11011100010000
3100100220211200000
420000233130100
5233402141143
621200530000
73221324601
oct1000573420
9310824600
10134412048
1169965841
1239020900
1321b01a74
1413bcbda8
15bc00bd3
hex802f710

134412048 has 120 divisors (see below), whose sum is σ = 394308096. Its totient is φ = 44323200.

The previous prime is 134412041. The next prime is 134412049. The reversal of 134412048 is 840214431.

134412048 is a `hidden beast` number, since 13 + 441 + 204 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (134412041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 703633 + ... + 703823.

Almost surely, 2134412048 is an apocalyptic number.

134412048 is a gapful number since it is divisible by the number (18) 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 134412048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197154048).

134412048 is an abundant number, since it is smaller than the sum of its proper divisors (259896048).

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

134412048 is a wasteful number, since it uses less digits than its factorization.

134412048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 134412048 is about 11593.6210046732. The cubic root of 134412048 is about 512.2469715077.

Adding to 134412048 its reverse (840214431), we get a palindrome (974626479).

The spelling of 134412048 in words is "one hundred thirty-four million, four hundred twelve thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 181 191 216 243 324 362 382 432 486 543 573 648 724 764 972 1086 1146 1296 1448 1528 1629 1719 1944 2172 2292 2896 3056 3258 3438 3888 4344 4584 4887 5157 6516 6876 8688 9168 9774 10314 13032 13752 14661 15471 19548 20628 26064 27504 29322 30942 34571 39096 41256 43983 46413 58644 61884 69142 78192 82512 87966 92826 103713 117288 123768 138284 175932 185652 207426 234576 247536 276568 311139 351864 371304 414852 553136 622278 703728 742608 829704 933417 1244556 1659408 1866834 2489112 2800251 3733668 4978224 5600502 7467336 8400753 11201004 14934672 16801506 22402008 33603012 44804016 67206024 134412048