Search a number
-
+
3371204408 = 23111310872711
BaseRepresentation
bin1100100011110000…
…0111111100111000
322200221111221001112
43020330013330320
523401012020113
61314304335452
7146353523165
oct31074077470
98627457045
103371204408
11147aa58850
127a1014588
13419583110
1423da3306c
1514ae6a5a8
hexc8f07f38

3371204408 has 64 divisors (see below), whose sum is σ = 7435653120. Its totient is φ = 1412668800.

The previous prime is 3371204357. The next prime is 3371204411. The reversal of 3371204408 is 8044021733.

It is a super-2 number, since 2×33712044082 = 22730038321037260928, 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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1242173 + ... + 1244883.

It is an arithmetic number, because the mean of its divisors is an integer number (116182080).

Almost surely, 23371204408 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 3371204408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717826560).

3371204408 is an abundant number, since it is smaller than the sum of its proper divisors (4064448712).

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

3371204408 is a wasteful number, since it uses less digits than its factorization.

3371204408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 3371204408 is about 58062.0737487045. The cubic root of 3371204408 is about 1499.4374791473.

The spelling of 3371204408 in words is "three billion, three hundred seventy-one million, two hundred four thousand, four hundred eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1087 1144 2174 2711 4348 5422 8696 10844 11957 14131 21688 23914 28262 29821 35243 47828 56524 59642 70486 95656 113048 119284 140972 155441 238568 281944 310882 387673 621764 775346 1243528 1550692 2946857 3101384 5893714 11787428 23574856 32415427 38309141 64830854 76618282 129661708 153236564 259323416 306473128 421400551 842801102 1685602204 3371204408