Search a number
-
+
140034984 = 233171512273
BaseRepresentation
bin10000101100011…
…00001110101000
3100202111111212220
420112030032220
5241322104414
621521234040
73320164155
oct1026141650
9322444786
10140034984
11720563a1
123aa92920
132302024b
141485322c
15c461ca9
hex858c3a8

140034984 has 64 divisors (see below), whose sum is σ = 373299840. Its totient is φ = 43622400.

The previous prime is 140034977. The next prime is 140034991. The reversal of 140034984 is 489430041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (140034977) and next prime (140034991).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60472 + ... + 62744.

It is an arithmetic number, because the mean of its divisors is an integer number (5832810).

Almost surely, 2140034984 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 140034984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186649920).

140034984 is an abundant number, since it is smaller than the sum of its proper divisors (233264856).

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

140034984 is a wasteful number, since it uses less digits than its factorization.

140034984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 140034984 is about 11833.6378176789. The cubic root of 140034984 is about 519.2926575863.

The spelling of 140034984 in words is "one hundred forty million, thirty-four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 151 204 302 408 453 604 906 1208 1812 2273 2567 3624 4546 5134 6819 7701 9092 10268 13638 15402 18184 20536 27276 30804 38641 54552 61608 77282 115923 154564 231846 309128 343223 463692 686446 927384 1029669 1372892 2059338 2745784 4118676 5834791 8237352 11669582 17504373 23339164 35008746 46678328 70017492 140034984