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34144650 = 23252233299
BaseRepresentation
bin1000001001000…
…0000110001010
32101020201122200
42002100012022
532220112100
63215501030
7563140041
oct202200612
971221580
1034144650
1118301421
12b527776
1370c6647
14476b558
152ee6e00
hex209018a

34144650 has 72 divisors (see below), whose sum is σ = 95752800. Its totient is φ = 8706720.

The previous prime is 34144633. The next prime is 34144651. The reversal of 34144650 is 5644143.

34144650 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 4 + 650 = 666.

It is not an unprimeable number, because it can be changed into a prime (34144651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8701 + ... + 11999.

It is an arithmetic number, because the mean of its divisors is an integer number (1329900).

Almost surely, 234144650 is an apocalyptic number.

34144650 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34144650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47876400).

34144650 is an abundant number, since it is smaller than the sum of its proper divisors (61608150).

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

34144650 is a wasteful number, since it uses less digits than its factorization.

34144650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340 (or 3332 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 34144650 is about 5843.3423654617. The cubic root of 34144650 is about 324.4199515594.

Adding to 34144650 its reverse (5644143), we get a palindrome (39788793).

The spelling of 34144650 in words is "thirty-four million, one hundred forty-four thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 138 150 207 225 230 345 414 450 575 690 1035 1150 1725 2070 3299 3450 5175 6598 9897 10350 16495 19794 29691 32990 49485 59382 75877 82475 98970 148455 151754 164950 227631 247425 296910 379385 455262 494850 682893 742275 758770 1138155 1365786 1484550 1896925 2276310 3414465 3793850 5690775 6828930 11381550 17072325 34144650