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140784384 = 2831359239
BaseRepresentation
bin10000110010000…
…11001100000000
3100210220120212110
420121003030000
5242020100014
621545255320
73326435046
oct1031031400
9323816773
10140784384
1172518434
123b194540
1323223390
14149aa396
15c55dd59
hex8643300

140784384 has 144 divisors (see below), whose sum is σ = 412070400. Its totient is φ = 42405888.

The previous prime is 140784379. The next prime is 140784431. The reversal of 140784384 is 483487041.

140784384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nialpdrome in base 16.

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, 588937 + ... + 589175.

It is an arithmetic number, because the mean of its divisors is an integer number (2861600).

Almost surely, 2140784384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140784384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206035200).

140784384 is an abundant number, since it is smaller than the sum of its proper divisors (271286016).

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

140784384 is a wasteful number, since it uses less digits than its factorization.

140784384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 140784384 is about 11865.2595420412. The cubic root of 140784384 is about 520.2173450408.

The spelling of 140784384 in words is "one hundred forty million, seven hundred eighty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 59 64 78 96 104 118 128 156 177 192 208 236 239 256 312 354 384 416 472 478 624 708 717 767 768 832 944 956 1248 1416 1434 1534 1664 1888 1912 2301 2496 2832 2868 3068 3107 3328 3776 3824 4602 4992 5664 5736 6136 6214 7552 7648 9204 9321 9984 11328 11472 12272 12428 14101 15104 15296 18408 18642 22656 22944 24544 24856 28202 30592 36816 37284 42303 45312 45888 49088 49712 56404 61184 73632 74568 84606 91776 98176 99424 112808 147264 149136 169212 183313 183552 196352 198848 225616 294528 298272 338424 366626 397696 451232 549939 589056 596544 676848 733252 795392 902464 1099878 1193088 1353696 1466504 1804928 2199756 2386176 2707392 2933008 3609856 4399512 5414784 5866016 8799024 10829568 11732032 17598048 23464064 35196096 46928128 70392192 140784384