Search a number
-
+
3370642380 = 22325722571487
BaseRepresentation
bin1100100011100111…
…1110101111001100
322200220110101002200
43020321332233030
523400341024010
61314244321500
7146345662500
oct31071765714
98626411080
103370642380
11147a704566
127a09a3290
13419417361
1423d928300
1514ada8cc0
hexc8e7ebcc

3370642380 has 216 divisors, whose sum is σ = 11947860288. Its totient is φ = 766918656.

The previous prime is 3370642339. The next prime is 3370642393. The reversal of 3370642380 is 832460733.

3370642380 is a `hidden beast` number, since 3 + 3 + 7 + 0 + 642 + 3 + 8 + 0 = 666.

It is a super-2 number, since 2×33706423802 = 22722460107704128800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2265997 + ... + 2267483.

It is an arithmetic number, because the mean of its divisors is an integer number (55314168).

Almost surely, 23370642380 is an apocalyptic number.

3370642380 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 3370642380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5973930144).

3370642380 is an abundant number, since it is smaller than the sum of its proper divisors (8577217908).

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

3370642380 is a wasteful number, since it uses less digits than its factorization.

3370642380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3370642380 is about 58057.2336578311. The cubic root of 3370642380 is about 1499.3541486239.

The spelling of 3370642380 in words is "three billion, three hundred seventy million, six hundred forty-two thousand, three hundred eighty".