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134410332 = 223721953227
BaseRepresentation
bin10000000001011…
…11000001011100
3100100220202022110
420000233001130
5233402112312
621200514020
73221316600
oct1000570134
9310822273
10134410332
1169964521
123901b910
1321b01054
1413bcb500
15bc0043c
hex802f05c

134410332 has 144 divisors (see below), whose sum is σ = 392999040. Its totient is φ = 35538048.

The previous prime is 134410291. The next prime is 134410337. The reversal of 134410332 is 233014431.

134410332 = T253 + T254 + ... + T936.

It is a super-2 number, since 2×1344103322 = 36132274696700448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

134410332 is a modest number, since divided by 10332 gives 1344 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 134410299 and 134410308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134410337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 592003 + ... + 592229.

It is an arithmetic number, because the mean of its divisors is an integer number (2729160).

Almost surely, 2134410332 is an apocalyptic number.

134410332 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 134410332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196499520).

134410332 is an abundant number, since it is smaller than the sum of its proper divisors (258588708).

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

134410332 is a wasteful number, since it uses less digits than its factorization.

134410332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 134410332 is about 11593.5469982228. The cubic root of 134410332 is about 512.2447915951.

Adding to 134410332 its reverse (233014431), we get a palindrome (367424763).

The spelling of 134410332 in words is "one hundred thirty-four million, four hundred ten thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 53 57 76 84 98 106 114 133 147 159 196 212 227 228 266 294 318 371 399 454 532 588 636 681 742 798 908 931 1007 1113 1362 1484 1589 1596 1862 2014 2226 2597 2724 2793 3021 3178 3724 4028 4313 4452 4767 5194 5586 6042 6356 7049 7791 8626 9534 10388 11123 11172 12031 12084 12939 14098 15582 17252 19068 21147 22246 24062 25878 28196 30191 31164 33369 36093 42294 44492 48124 49343 51756 60382 66738 72186 84217 84588 90573 98686 120764 133476 144372 148029 168434 181146 197372 211337 228589 252651 296058 336868 362292 422674 457178 505302 589519 592116 634011 685767 845348 914356 1010604 1179038 1268022 1371534 1600123 1768557 2358076 2536044 2743068 3200246 3537114 4800369 6400492 7074228 9600738 11200861 19201476 22401722 33602583 44803444 67205166 134410332