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3421432240 = 245174096151
BaseRepresentation
bin1100101111101110…
…1110100110110000
322211110000202200121
43023323232212300
524001341312430
61323301100024
7150533460052
oct31373564660
98743022617
103421432240
1114a6344756
127b59b7614
13426abb125
142465898d2
1515058ca7a
hexcbeee9b0

3421432240 has 80 divisors (see below), whose sum is σ = 8444727360. Its totient is φ = 1284710400.

The previous prime is 3421432237. The next prime is 3421432241. The reversal of 3421432240 is 422341243.

It is a happy number.

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

It is a super-2 number, since 2×34214322402 = 23412397145822835200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3421432241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 553165 + ... + 559315.

It is an arithmetic number, because the mean of its divisors is an integer number (105559092).

Almost surely, 23421432240 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 3421432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222363680).

3421432240 is an abundant number, since it is smaller than the sum of its proper divisors (5023295120).

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

3421432240 is a wasteful number, since it uses less digits than its factorization.

3421432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6590 (or 6584 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 3421432240 is about 58493.0101807045. The cubic root of 3421432240 is about 1506.8475435686.

Adding to 3421432240 its reverse (422341243), we get a palindrome (3843773483).

The spelling of 3421432240 in words is "three billion, four hundred twenty-one million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 409 680 818 1360 1636 2045 3272 4090 6151 6544 6953 8180 12302 13906 16360 24604 27812 30755 32720 34765 49208 55624 61510 69530 98416 104567 111248 123020 139060 209134 246040 278120 418268 492080 522835 556240 836536 1045670 1673072 2091340 2515759 4182680 5031518 8365360 10063036 12578795 20126072 25157590 40252144 42767903 50315180 85535806 100630360 171071612 201260720 213839515 342143224 427679030 684286448 855358060 1710716120 3421432240