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134061312 = 2837112267
BaseRepresentation
bin1111111110110…
…01110100000000
3100100021000112210
413333121310000
5233304430222
621145222120
73215334210
oct777316400
9310230483
10134061312
1169746280
1238a91940
1321a0b228
1413b3a240
15bb81d0c
hex7fd9d00

134061312 has 144 divisors (see below), whose sum is σ = 445036032. Its totient is φ = 34805760.

The previous prime is 134061307. The next prime is 134061353. The reversal of 134061312 is 213160431.

It is a super-2 number, since 2×1340613122 = 35944870750322688, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 58003 + ... + 60269.

It is an arithmetic number, because the mean of its divisors is an integer number (3090528).

Almost surely, 2134061312 is an apocalyptic number.

134061312 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 134061312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222518016).

134061312 is an abundant number, since it is smaller than the sum of its proper divisors (310974720).

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

134061312 is a wasteful number, since it uses less digits than its factorization.

134061312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 134061312 is about 11578.4848749739. The cubic root of 134061312 is about 511.8010294580.

The spelling of 134061312 in words is "one hundred thirty-four million, sixty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 528 616 672 704 768 896 924 1056 1232 1344 1408 1792 1848 2112 2267 2464 2688 2816 3696 4224 4534 4928 5376 6801 7392 8448 9068 9856 13602 14784 15869 18136 19712 24937 27204 29568 31738 36272 47607 49874 54408 59136 63476 72544 74811 95214 99748 108816 126952 145088 149622 174559 190428 199496 217632 253904 290176 299244 349118 380856 398992 435264 507808 523677 580352 598488 698236 761712 797984 870528 1015616 1047354 1196976 1396472 1523424 1595968 1741056 2031232 2094708 2393952 2792944 3046848 3191936 4062464 4189416 4787904 5585888 6093696 6383872 8378832 9575808 11171776 12187392 16757664 19151616 22343552 33515328 44687104 67030656 134061312