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3321404320 = 255132122833
BaseRepresentation
bin1100010111111000…
…1001101110100000
322120110210211011211
43011332021232200
523300234414240
61305325115504
7145210320343
oct30576115640
98513724154
103321404320
111454934253
127883b8b94
1340c167a00
1423718c45a
151468cebea
hexc5f89ba0

3321404320 has 72 divisors (see below), whose sum is σ = 8496919116. Its totient is φ = 1226354688.

The previous prime is 3321404287. The next prime is 3321404329. The reversal of 3321404320 is 234041233.

It is a happy number.

3321404320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 790509456 + 2530894864 = 28116^2 + 50308^2 .

It is a super-2 number, since 2×33214043202 = 22063453313829324800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3321404291 and 3321404300.

It is not an unprimeable number, because it can be changed into a prime (3321404329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34377 + ... + 88456.

Almost surely, 23321404320 is an apocalyptic number.

It is an amenable number.

3321404320 is an abundant number, since it is smaller than the sum of its proper divisors (5175514796).

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

3321404320 is a wasteful number, since it uses less digits than its factorization.

3321404320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122874 (or 122853 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3321404320 is about 57631.6260398750. The cubic root of 3321404320 is about 1492.0174943503.

Adding to 3321404320 its reverse (234041233), we get a palindrome (3555445553).

The spelling of 3321404320 in words is "three billion, three hundred twenty-one million, four hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 169 208 260 338 416 520 676 845 1040 1352 1690 2080 2704 3380 5408 6760 13520 27040 122833 245666 491332 614165 982664 1228330 1596829 1965328 2456660 3193658 3930656 4913320 6387316 7984145 9826640 12774632 15968290 19653280 20758777 25549264 31936580 41517554 51098528 63873160 83035108 103793885 127746320 166070216 207587770 255492640 332140432 415175540 664280864 830351080 1660702160 3321404320