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3003444340 = 2251324121673
BaseRepresentation
bin1011001100000100…
…1110110001110100
321202022111210002021
42303001032301310
522122340204330
61214010122524
7134266566331
oct26301166164
97668453067
103003444340
111301403206
126b9a20444
1338b31c200
14206c61988
15128a2467a
hexb304ec74

3003444340 has 72 divisors (see below), whose sum is σ = 6996627288. Its totient is φ = 1081866240.

The previous prime is 3003444319. The next prime is 3003444341. The reversal of 3003444340 is 434443003.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1539463696 + 1463980644 = 39236^2 + 38262^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3003444341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127744 + ... + 149416.

It is an arithmetic number, because the mean of its divisors is an integer number (97175379).

Almost surely, 23003444340 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 3003444340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498313644).

3003444340 is an abundant number, since it is smaller than the sum of its proper divisors (3993182948).

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

3003444340 is a wasteful number, since it uses less digits than its factorization.

3003444340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21749 (or 21734 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 3003444340 is about 54803.6891094021. The cubic root of 3003444340 is about 1442.8013145268.

Adding to 3003444340 its reverse (434443003), we get a palindrome (3437887343).

The spelling of 3003444340 in words is "three billion, three million, four hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 169 205 260 338 410 533 676 820 845 1066 1690 2132 2665 3380 5330 6929 10660 13858 21673 27716 34645 43346 69290 86692 108365 138580 216730 281749 433460 563498 888593 1126996 1408745 1777186 2817490 3554372 3662737 4442965 5634980 7325474 8885930 11551709 14650948 17771860 18313685 23103418 36627370 46206836 57758545 73254740 115517090 150172217 231034180 300344434 600688868 750861085 1501722170 3003444340