Search a number
-
+
309989400 = 233527233209
BaseRepresentation
bin10010011110100…
…001000000011000
3210121022002111220
4102132201000120
51113324130100
650432052040
710452603120
oct2236410030
9717262456
10309989400
11149a87696
1287994020
134c2b78a6
142d253c80
151c333aa0
hex127a1018

309989400 has 192 divisors, whose sum is σ = 1146355200. Its totient is φ = 67752960.

The previous prime is 309989387. The next prime is 309989431. The reversal of 309989400 is 4989903.

It is a super-2 number, since 2×3099894002 = 192186856224720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94996 + ... + 98204.

It is an arithmetic number, because the mean of its divisors is an integer number (5970600).

Almost surely, 2309989400 is an apocalyptic number.

309989400 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 309989400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573177600).

309989400 is an abundant number, since it is smaller than the sum of its proper divisors (836365800).

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

309989400 is a wasteful number, since it uses less digits than its factorization.

309989400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 309989400 is about 17606.5158393136. The cubic root of 309989400 is about 676.7822311729.

The spelling of 309989400 in words is "three hundred nine million, nine hundred eighty-nine thousand, four hundred".