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3421305440 = 255721812411
BaseRepresentation
bin1100101111101100…
…1111101001100000
322211102210022202022
43023323033221200
524001323233230
61323254241012
7150532421300
oct31373175140
98742708668
103421305440
1114a6268463
127b5956168
13426a754b7
14246555600
151505651e5
hexcbecfa60

3421305440 has 144 divisors (see below), whose sum is σ = 9458349264. Its totient is φ = 1166054400.

The previous prime is 3421305431. The next prime is 3421305443. The reversal of 3421305440 is 445031243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3421305443) 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, 1417835 + ... + 1420245.

It is an arithmetic number, because the mean of its divisors is an integer number (65682981).

Almost surely, 23421305440 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 3421305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4729174632).

3421305440 is an abundant number, since it is smaller than the sum of its proper divisors (6037043824).

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

3421305440 is a wasteful number, since it uses less digits than its factorization.

3421305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 3421305440 is about 58491.9262804705. The cubic root of 3421305440 is about 1506.8289284960.

Adding to 3421305440 its reverse (445031243), we get a palindrome (3866336683).

The spelling of 3421305440 in words is "three billion, four hundred twenty-one million, three hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 181 196 224 245 280 362 392 490 560 724 784 905 980 1120 1267 1448 1568 1810 1960 2411 2534 2896 3620 3920 4822 5068 5792 6335 7240 7840 8869 9644 10136 12055 12670 14480 16877 17738 19288 20272 24110 25340 28960 33754 35476 38576 40544 44345 48220 50680 67508 70952 77152 84385 88690 96440 101360 118139 135016 141904 168770 177380 192880 202720 236278 270032 283808 337540 354760 385760 436391 472556 540064 590695 675080 709520 872782 945112 1181390 1350160 1419040 1745564 1890224 2181955 2362780 2700320 3054737 3491128 3780448 4363910 4725560 6109474 6982256 8727820 9451120 12218948 13964512 15273685 17455640 18902240 21383159 24437896 30547370 34911280 42766318 48875792 61094740 69822560 85532636 97751584 106915795 122189480 171065272 213831590 244378960 342130544 427663180 488757920 684261088 855326360 1710652720 3421305440