Search a number
-
+
3320525376 = 263278
BaseRepresentation
bin1100010111101011…
…0011001001000000
322120102011011111100
43011322303021000
523300023303001
61305254214400
7145200000000
oct30572631100
98512134440
103320525376
111454393953
12788054400
1340bc1a91c
14237000000
151467a9586
hexc5eb3240

3320525376 has 189 divisors, whose sum is σ = 11103967251. Its totient is φ = 948721536.

The previous prime is 3320525371. The next prime is 3320525399. The reversal of 3320525376 is 6735250233.

The square root of 3320525376 is 57624.

It is a perfect power (a square), and thus also a powerful number.

3320525376 is a `hidden beast` number, since 332 + 0 + 5 + 253 + 76 = 666.

It is a super-2 number, since 2×33205253762 = 22051777545319882752, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3320525376.

It is not an unprimeable number, because it can be changed into a prime (3320525371) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 474360765 + ... + 474360771.

Almost surely, 23320525376 is an apocalyptic number.

3320525376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3320525376 is the 57624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3320525376

3320525376 is an abundant number, since it is smaller than the sum of its proper divisors (7783441875).

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

3320525376 is an frugal number, since it uses more digits than its factorization.

3320525376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The cubic root of 3320525376 is about 1491.8858717600.

Multiplying 3320525376 by its sum of digits (36), we get a 4-th power (119538913536 = 5884).

3320525376 divided by its sum of digits (36) gives a 4-th power (92236816 = 984).

The spelling of 3320525376 in words is "three billion, three hundred twenty million, five hundred twenty-five thousand, three hundred seventy-six".