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3444404240 = 245291484657
BaseRepresentation
bin1100110101001101…
…0111000000010000
322220001020212100102
43031103113000100
524023231413430
61325441311532
7151232644604
oct31523270020
98801225312
103444404240
111508304982
128016355a8
1342b7a2224
14249649504
151525c9345
hexcd4d7010

3444404240 has 40 divisors (see below), whose sum is σ = 8284391640. Its totient is φ = 1330251776.

The previous prime is 3444404213. The next prime is 3444404263. The reversal of 3444404240 is 424044443.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 554696704 + 2889707536 = 23552^2 + 53756^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 740009 + ... + 744648.

It is an arithmetic number, because the mean of its divisors is an integer number (207109791).

Almost surely, 23444404240 is an apocalyptic number.

It is an amenable number.

3444404240 is an abundant number, since it is smaller than the sum of its proper divisors (4839987400).

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

3444404240 is a wasteful number, since it uses less digits than its factorization.

3444404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484699 (or 1484693 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

The square root of 3444404240 is about 58689.0470190137. The cubic root of 3444404240 is about 1510.2124227857.

Adding to 3444404240 its reverse (424044443), we get a palindrome (3868448683).

The spelling of 3444404240 in words is "three billion, four hundred forty-four million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 1484657 2969314 5938628 7423285 11877256 14846570 23754512 29693140 43055053 59386280 86110106 118772560 172220212 215275265 344440424 430550530 688880848 861101060 1722202120 3444404240