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3441021440 = 2957318413
BaseRepresentation
bin1100110100011001…
…1101001000000000
322212210220000000112
43031012131020000
524021400141230
61325241010452
7151162125323
oct31506351000
98783800015
103441021440
11150640437a
12800483a28
1342ab8957c
142490087ba
1515215bd95
hexcd19d200

3441021440 has 80 divisors (see below), whose sum is σ = 8363859768. Its totient is φ = 1357479936.

The previous prime is 3441021401. The next prime is 3441021457. The reversal of 3441021440 is 441201443.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2490409216 + 950612224 = 49904^2 + 30832^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177674 + ... + 196086.

Almost surely, 23441021440 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 3441021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4181929884).

3441021440 is an abundant number, since it is smaller than the sum of its proper divisors (4922838328).

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

3441021440 is an equidigital number, since it uses as much as digits as its factorization.

3441021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18509 (or 18493 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 3441021440 is about 58660.2202518879. The cubic root of 3441021440 is about 1509.7178602432.

Adding to 3441021440 its reverse (441201443), we get a palindrome (3882222883).

The spelling of 3441021440 in words is "three billion, four hundred forty-one million, twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 256 292 320 365 512 584 640 730 1168 1280 1460 2336 2560 2920 4672 5840 9344 11680 18413 18688 23360 36826 37376 46720 73652 92065 93440 147304 184130 186880 294608 368260 589216 736520 1178432 1344149 1473040 2356864 2688298 2946080 4713728 5376596 5892160 6720745 9427456 10753192 11784320 13441490 21506384 23568640 26882980 43012768 47137280 53765960 86025536 107531920 172051072 215063840 344102144 430127680 688204288 860255360 1720510720 3441021440