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3421253440 = 265113472801
BaseRepresentation
bin1100101111101100…
…0010111101000000
322211102200200102101
43023323002331000
524001320102230
61323253200144
7150532113553
oct31373027500
98742620371
103421253440
1114a6232390
127b5930054
13426a57927
1424654069a
15150554aca
hexcbec2f40

3421253440 has 112 divisors (see below), whose sum is σ = 8916277824. Its totient is φ = 1240064000.

The previous prime is 3421253401. The next prime is 3421253447. The reversal of 3421253440 is 443521243.

It is a happy number.

3421253440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3421253399 and 3421253408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3421253447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1220040 + ... + 1222840.

Almost surely, 23421253440 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 3421253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4458138912).

3421253440 is an abundant number, since it is smaller than the sum of its proper divisors (5495024384).

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

3421253440 is a wasteful number, since it uses less digits than its factorization.

3421253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3176 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 3421253440 is about 58491.4817729898. The cubic root of 3421253440 is about 1506.8212944216.

Adding to 3421253440 its reverse (443521243), we get a palindrome (3864774683).

The spelling of 3421253440 in words is "three billion, four hundred twenty-one million, two hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 347 352 440 694 704 880 1388 1735 1760 2776 2801 3470 3520 3817 5552 5602 6940 7634 11104 11204 13880 14005 15268 19085 22208 22408 27760 28010 30536 30811 38170 44816 55520 56020 61072 61622 76340 89632 111040 112040 122144 123244 152680 154055 179264 224080 244288 246488 305360 308110 448160 492976 610720 616220 896320 971947 985952 1221440 1232440 1943894 1971904 2464880 3887788 4859735 4929760 7775576 9719470 9859520 10691417 15551152 19438940 21382834 31102304 38877880 42765668 53457085 62204608 77755760 85531336 106914170 155511520 171062672 213828340 311023040 342125344 427656680 684250688 855313360 1710626720 3421253440