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134168384 = 2672329449
BaseRepresentation
bin1111111111100…
…11111101000000
3100100110110102102
413333303331000
5233321342014
621151405532
73216261320
oct777637500
9310413372
10134168384
1169809769
1238b238a8
1321a47b9c
1413b67280
15bba38de
hex7ff3f40

134168384 has 112 divisors (see below), whose sum is σ = 329184000. Its totient is φ = 52985856.

The previous prime is 134168383. The next prime is 134168393. The reversal of 134168384 is 483861431.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134168381) 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, 298592 + ... + 299040.

Almost surely, 2134168384 is an apocalyptic number.

134168384 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 134168384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164592000).

134168384 is an abundant number, since it is smaller than the sum of its proper divisors (195015616).

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

134168384 is a wasteful number, since it uses less digits than its factorization.

134168384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 510 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 134168384 is about 11583.1077004403. The cubic root of 134168384 is about 511.9372481687.

The spelling of 134168384 in words is "one hundred thirty-four million, one hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 23 28 29 32 46 56 58 64 92 112 116 161 184 203 224 232 322 368 406 448 449 464 644 667 736 812 898 928 1288 1334 1472 1624 1796 1856 2576 2668 3143 3248 3592 4669 5152 5336 6286 6496 7184 9338 10304 10327 10672 12572 12992 13021 14368 18676 20654 21344 25144 26042 28736 37352 41308 42688 50288 52084 72289 74704 82616 91147 100576 104168 144578 149408 165232 182294 201152 208336 289156 298816 299483 330464 364588 416672 578312 598966 660928 729176 833344 1156624 1197932 1458352 2096381 2313248 2395864 2916704 4192762 4626496 4791728 5833408 8385524 9583456 16771048 19166912 33542096 67084192 134168384