Search a number
-
+
373800420 = 223457217277
BaseRepresentation
bin10110010001111…
…011110111100100
3222001101000210000
4112101323313210
51231143103140
6101031501300
712156152100
oct2621736744
9861330700
10373800420
11182000874
12a5227830
135c59a3a6
1437904900
1522c3aa30
hex1647bde4

373800420 has 360 divisors, whose sum is σ = 1449528696. Its totient is φ = 80123904.

The previous prime is 373800407. The next prime is 373800421. The reversal of 373800420 is 24008373.

It can be written as a sum of positive squares in 4 ways, for example, as 30735936 + 343064484 = 5544^2 + 18522^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (373800421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1349322 + ... + 1349598.

Almost surely, 2373800420 is an apocalyptic number.

373800420 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 373800420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724764348).

373800420 is an abundant number, since it is smaller than the sum of its proper divisors (1075728276).

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

373800420 is a wasteful number, since it uses less digits than its factorization.

373800420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 373800420 is about 19333.9188991782. The cubic root of 373800420 is about 720.3550332371.

Adding to 373800420 its reverse (24008373), we get a palindrome (397808793).

The spelling of 373800420 in words is "three hundred seventy-three million, eight hundred thousand, four hundred twenty".