Search a number
-
+
380051100 = 22325211132953
BaseRepresentation
bin10110101001110…
…001111010011100
3222111010121002200
4112221301322130
51234243113400
6101413451500
712263244462
oct2651617234
9874117080
10380051100
11185590020
12a7340b90
1360978510
1438690832
1523572b00
hex16a71e9c

380051100 has 216 divisors, whose sum is σ = 1399983312. Its totient is φ = 85017600.

The previous prime is 380051083. The next prime is 380051117. The reversal of 380051100 is 1150083.

It is a happy number.

380051100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (380051083) and next prime (380051117).

It is a super-2 number, since 2×3800511002 = 288877677222420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127224 + ... + 130176.

Almost surely, 2380051100 is an apocalyptic number.

380051100 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 380051100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699991656).

380051100 is an abundant number, since it is smaller than the sum of its proper divisors (1019932212).

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

380051100 is a wasteful number, since it uses less digits than its factorization.

380051100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 380051100 is about 19494.8993329024. The cubic root of 380051100 is about 724.3481100200.

The spelling of 380051100 in words is "three hundred eighty million, fifty-one thousand, one hundred".