Search a number
-
+
3374635320 = 23325717372129
BaseRepresentation
bin1100100100100100…
…1101100100111000
322201011222020101100
43021021031210320
523402401312240
61314510051400
7146424632640
oct31111154470
98634866340
103374635320
111481991511
127a21a9b60
1341a1b4944
14240287520
1514b3e6e30
hexc924d938

3374635320 has 384 divisors, whose sum is σ = 13636771200. Its totient is φ = 706019328.

The previous prime is 3374635289. The next prime is 3374635321. The reversal of 3374635320 is 235364733.

It is a super-2 number, since 2×33746353202 = 22776327085983004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3374635321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1584016 + ... + 1586144.

It is an arithmetic number, because the mean of its divisors is an integer number (35512425).

Almost surely, 23374635320 is an apocalyptic number.

3374635320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3374635320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6818385600).

3374635320 is an abundant number, since it is smaller than the sum of its proper divisors (10262135880).

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

3374635320 is a wasteful number, since it uses less digits than its factorization.

3374635320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 36.

The square root of 3374635320 is about 58091.6114426171. The cubic root of 3374635320 is about 1499.9459713873.

The spelling of 3374635320 in words is "three billion, three hundred seventy-four million, six hundred thirty-five thousand, three hundred twenty".