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240691968 = 2832119497
BaseRepresentation
bin11100101100010…
…10101100000000
3121202220102022100
432112022230000
5443104120333
635514510400
75651563566
oct1626125400
9552812270
10240691968
11113956490
1268735400
133ab33aaa
1423d75a36
15161e6213
hexe58ab00

240691968 has 108 divisors (see below), whose sum is σ = 757142568. Its totient is φ = 72929280.

The previous prime is 240691963. The next prime is 240691973. The reversal of 240691968 is 869196042.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (240691963) and next prime (240691973).

It is not an unprimeable number, because it can be changed into a prime (240691961) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 20596 + ... + 30092.

Almost surely, 2240691968 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 240691968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378571284).

240691968 is an abundant number, since it is smaller than the sum of its proper divisors (516450600).

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

240691968 is a wasteful number, since it uses less digits than its factorization.

240691968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9530 (or 9513 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 240691968 is about 15514.2504814122. The cubic root of 240691968 is about 622.0431796273.

The spelling of 240691968 in words is "two hundred forty million, six hundred ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2112 2304 2816 3168 4224 6336 8448 9497 12672 18994 25344 28491 37988 56982 75976 85473 104467 113964 151952 170946 208934 227928 303904 313401 341892 417868 455856 607808 626802 683784 835736 911712 940203 1215616 1253604 1367568 1671472 1823424 1880406 2431232 2507208 2735136 3342944 3646848 3760812 5014416 5470272 6685888 7293696 7521624 10028832 10940544 13371776 15043248 20057664 21881088 26743552 30086496 40115328 60172992 80230656 120345984 240691968