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134314320 = 24357312579
BaseRepresentation
bin10000000000101…
…11100101010000
3100100201212121110
420000113211100
5233341024240
621154453320
73220436640
oct1000274520
9310655543
10134314320
11698a9378
1238b94240
1321a9943a
1413ba4520
15bbd1c80
hex8017950

134314320 has 160 divisors (see below), whose sum is σ = 491397120. Its totient is φ = 29698560.

The previous prime is 134314303. The next prime is 134314343. The reversal of 134314320 is 23413431.

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

It is a congruent number.

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, 50791 + ... + 53369.

It is an arithmetic number, because the mean of its divisors is an integer number (3071232).

Almost surely, 2134314320 is an apocalyptic number.

134314320 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 134314320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245698560).

134314320 is an abundant number, since it is smaller than the sum of its proper divisors (357082800).

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

134314320 is a wasteful number, since it uses less digits than its factorization.

134314320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2627 counting only the distinct ones).

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

The square root of 134314320 is about 11589.4055067549. The cubic root of 134314320 is about 512.1227936273.

Adding to 134314320 its reverse (23413431), we get a palindrome (157727751).

The spelling of 134314320 in words is "one hundred thirty-four million, three hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 105 112 120 124 140 155 168 186 210 217 240 248 280 310 336 372 420 434 465 496 560 620 651 744 840 868 930 1085 1240 1302 1488 1680 1736 1860 2170 2480 2579 2604 3255 3472 3720 4340 5158 5208 6510 7440 7737 8680 10316 10416 12895 13020 15474 17360 18053 20632 25790 26040 30948 36106 38685 41264 51580 52080 54159 61896 72212 77370 79949 90265 103160 108318 123792 144424 154740 159898 180530 206320 216636 239847 270795 288848 309480 319796 361060 399745 433272 479694 541590 559643 618960 639592 722120 799490 866544 959388 1083180 1119286 1199235 1279184 1444240 1598980 1678929 1918776 2166360 2238572 2398470 2798215 3197960 3357858 3837552 4332720 4477144 4796940 5596430 6395920 6715716 8394645 8954288 9593880 11192860 13431432 16789290 19187760 22385720 26862864 33578580 44771440 67157160 134314320