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3324420440 = 2351134921649
BaseRepresentation
bin1100011000100110…
…1010000101011000
322120200111001111222
43012021222011120
523302022423230
61305513511212
7145245051605
oct30611520530
98520431458
103324420440
111456604310
12789412508
1340c9827b3
142377356ac
15146cc86e5
hexc626a158

3324420440 has 64 divisors (see below), whose sum is σ = 8183700000. Its totient is φ = 1205360640.

The previous prime is 3324420427. The next prime is 3324420493. The reversal of 3324420440 is 440244233.

It is a super-2 number, since 2×33244204402 = 22103542523779587200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142736 + ... + 164384.

Almost surely, 23324420440 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 3324420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4091850000).

3324420440 is an abundant number, since it is smaller than the sum of its proper divisors (4859279560).

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

3324420440 is a wasteful number, since it uses less digits than its factorization.

3324420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22020 (or 22016 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 3324420440 is about 57657.7873318080. The cubic root of 3324420440 is about 1492.4689843325.

Adding to 3324420440 its reverse (440244233), we get a palindrome (3764664673).

The spelling of 3324420440 in words is "three billion, three hundred twenty-four million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 349 440 698 1396 1745 2792 3490 3839 6980 7678 13960 15356 19195 21649 30712 38390 43298 76780 86596 108245 153560 173192 216490 238139 432980 476278 865960 952556 1190695 1905112 2381390 4762780 7555501 9525560 15111002 30222004 37777505 60444008 75555010 83110511 151110020 166221022 302220040 332442044 415552555 664884088 831105110 1662210220 3324420440