Search a number
-
+
3372379920 = 2434572131943
BaseRepresentation
bin1100100100000010…
…0110111100010000
322201000201122120000
43021000212330100
523401312124140
61314345450000
7146366520300
oct31100467420
98630648500
103372379920
111480690a48
127a14a0900
134198a51a0
1423dc5b600
1514b0eda30
hexc9026f10

3372379920 has 1200 divisors, whose sum is σ = 15804613440. Its totient is φ = 658409472.

The previous prime is 3372379823. The next prime is 3372379921. The reversal of 3372379920 is 299732733.

It is a super-2 number, since 2×33723799202 = 22745892649638412800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3372379921) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 78427419 + ... + 78427461.

Almost surely, 23372379920 is an apocalyptic number.

3372379920 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 3372379920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7902306720).

3372379920 is an abundant number, since it is smaller than the sum of its proper divisors (12432233520).

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

3372379920 is a wasteful number, since it uses less digits than its factorization.

3372379920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 45.

The square root of 3372379920 is about 58072.1957566614. The cubic root of 3372379920 is about 1499.6117395112.

The spelling of 3372379920 in words is "three billion, three hundred seventy-two million, three hundred seventy-nine thousand, nine hundred twenty".