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134414340 = 223537191317
BaseRepresentation
bin10000000001100…
…00000000000100
3100100220221210220
420000300000010
5233402224330
621200544340
73221334354
oct1000600004
9310827726
10134414340
1169967535
12390220b0
1321b02b18
1413bccb64
15bc01710
hex8030004

134414340 has 96 divisors (see below), whose sum is σ = 389781504. Its totient is φ = 34583040.

The previous prime is 134414327. The next prime is 134414381. The reversal of 134414340 is 43414431.

It is a self number, because there is not a number n which added to its sum of digits gives 134414340.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423862 + ... + 424178.

It is an arithmetic number, because the mean of its divisors is an integer number (4060224).

Almost surely, 2134414340 is an apocalyptic number.

134414340 is a gapful number since it is divisible by the number (10) 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 134414340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194890752).

134414340 is an abundant number, since it is smaller than the sum of its proper divisors (255367164).

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

134414340 is a wasteful number, since it uses less digits than its factorization.

134414340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 555 counting only the distinct ones).

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

The square root of 134414340 is about 11593.7198517128. The cubic root of 134414340 is about 512.2498831102.

Adding to 134414340 its reverse (43414431), we get a palindrome (177828771).

Subtracting from 134414340 its reverse (43414431), we obtain a palindrome (90999909).

The spelling of 134414340 in words is "one hundred thirty-four million, four hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 191 222 317 370 382 444 555 573 634 740 764 951 955 1110 1146 1268 1585 1902 1910 2220 2292 2865 3170 3804 3820 4755 5730 6340 7067 9510 11460 11729 14134 19020 21201 23458 28268 35187 35335 42402 46916 58645 60547 70374 70670 84804 106005 117290 121094 140748 141340 175935 181641 212010 234580 242188 302735 351870 363282 424020 605470 703740 726564 908205 1210940 1816410 2240239 3632820 4480478 6720717 8960956 11201195 13441434 22402390 26882868 33603585 44804780 67207170 134414340