Search a number
-
+
140347008 = 2732294201
BaseRepresentation
bin10000101110110…
…00011010000000
3100210002100220100
420113120122000
5241412101013
621532042400
73322633644
oct1027303200
9323070810
10140347008
117224986a
123b003400
13230cc289
14148d4c24
15c4c4473
hex85d8680

140347008 has 96 divisors (see below), whose sum is σ = 417888900. Its totient is φ = 45158400.

The previous prime is 140347007. The next prime is 140347061. The reversal of 140347008 is 800743041.

It can be written as a sum of positive squares in 2 ways, for example, as 131056704 + 9290304 = 11448^2 + 3048^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (140347007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31308 + ... + 35508.

Almost surely, 2140347008 is an apocalyptic number.

140347008 is a gapful number since it is divisible by the number (18) 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 140347008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208944450).

140347008 is an abundant number, since it is smaller than the sum of its proper divisors (277541892).

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

140347008 is a wasteful number, since it uses less digits than its factorization.

140347008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4250 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 140347008 is about 11846.8142553178. The cubic root of 140347008 is about 519.6780650292.

The spelling of 140347008 in words is "one hundred forty million, three hundred forty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 928 1044 1152 1392 1856 2088 2784 3712 4176 4201 5568 8352 8402 11136 12603 16704 16804 25206 33408 33608 37809 50412 67216 75618 100824 121829 134432 151236 201648 243658 268864 302472 365487 403296 487316 537728 604944 730974 806592 974632 1096461 1209888 1461948 1613184 1949264 2192922 2419776 2923896 3898528 4385844 4839552 5847792 7797056 8771688 11695584 15594112 17543376 23391168 35086752 46782336 70173504 140347008