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140281344 = 293274349
BaseRepresentation
bin10000101110010…
…00011000000000
3100202222000211100
420113020120000
5241403000334
621530414400
73322241340
oct1027103000
9322860740
10140281344
11722044a5
123ab91400
13230a8418
14148b8d20
15c4aec99
hex85c8600

140281344 has 120 divisors (see below), whose sum is σ = 462805200. Its totient is φ = 40071168.

The previous prime is 140281321. The next prime is 140281363. The reversal of 140281344 is 443182041.

140281344 is a `hidden beast` number, since 1 + 40 + 281 + 344 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30082 + ... + 34430.

It is an arithmetic number, because the mean of its divisors is an integer number (3856710).

Almost surely, 2140281344 is an apocalyptic number.

140281344 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 140281344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231402600).

140281344 is an abundant number, since it is smaller than the sum of its proper divisors (322523856).

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

140281344 is an equidigital number, since it uses as much as digits as its factorization.

140281344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 140281344 is about 11844.0425531150. The cubic root of 140281344 is about 519.5970053182.

It can be divided in two parts, 140281 and 344, that added together give a square (140625 = 3752).

The spelling of 140281344 in words is "one hundred forty million, two hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3584 4032 4349 4608 5376 8064 8698 10752 13047 16128 17396 26094 30443 32256 34792 39141 52188 60886 69584 78282 91329 104376 121772 139168 156564 182658 208752 243544 273987 278336 313128 365316 417504 487088 547974 556672 626256 730632 835008 974176 1095948 1113344 1252512 1461264 1670016 1948352 2191896 2226688 2505024 2922528 3340032 3896704 4383792 5010048 5845056 6680064 7793408 8767584 10020096 11690112 15586816 17535168 20040192 23380224 35070336 46760448 70140672 140281344