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3301113400 = 2352131578087
BaseRepresentation
bin1100010011000010…
…1111111000111000
322112001121221021021
43010300233320320
523230041112100
61303322152224
7144543000214
oct30460577070
98461557237
103301113400
1114444353a2
12781652674
13407bb2050
142345c9944
15144c22a1a
hexc4c2fe38

3301113400 has 96 divisors (see below), whose sum is σ = 8319155040. Its totient is φ = 1210959360.

The previous prime is 3301113379. The next prime is 3301113407. The reversal of 3301113400 is 43111033.

3301113400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3301113407) 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, 404157 + ... + 412243.

It is an arithmetic number, because the mean of its divisors is an integer number (86657865).

Almost surely, 23301113400 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 3301113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159577520).

3301113400 is an abundant number, since it is smaller than the sum of its proper divisors (5018041640).

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

3301113400 is a wasteful number, since it uses less digits than its factorization.

3301113400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8273 (or 8264 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3301113400 is about 57455.3165512122. The cubic root of 3301113400 is about 1488.9729721167.

Adding to 3301113400 its reverse (43111033), we get a palindrome (3344224433).

The spelling of 3301113400 in words is "three billion, three hundred one million, one hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 157 200 260 314 325 520 628 650 785 1256 1300 1570 2041 2600 3140 3925 4082 6280 7850 8087 8164 10205 15700 16174 16328 20410 31400 32348 40435 40820 51025 64696 80870 81640 102050 105131 161740 202175 204100 210262 323480 404350 408200 420524 525655 808700 841048 1051310 1269659 1617400 2102620 2539318 2628275 4205240 5078636 5256550 6348295 10157272 10513100 12696590 16505567 21026200 25393180 31741475 33011134 50786360 63482950 66022268 82527835 126965900 132044536 165055670 253931800 330111340 412639175 660222680 825278350 1650556700 3301113400