Search a number
-
+
303114420 = 223357175389
BaseRepresentation
bin10010000100010…
…010100010110100
3210010100210211000
4102010102202310
51110044130140
650024443300
710340300340
oct2204224264
9703323730
10303114420
11146111394
1285619530
134aa4b55b
142c384620
151b926a30
hex121128b4

303114420 has 384 divisors, whose sum is σ = 1175731200. Its totient is φ = 63258624.

The previous prime is 303114349. The next prime is 303114443. The reversal of 303114420 is 24411303.

It is a super-2 number, since 2×3031144202 = 183756703223872800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 303114393 and 303114402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3405736 + ... + 3405824.

It is an arithmetic number, because the mean of its divisors is an integer number (3061800).

Almost surely, 2303114420 is an apocalyptic number.

303114420 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 303114420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587865600).

303114420 is an abundant number, since it is smaller than the sum of its proper divisors (872616780).

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

303114420 is a wasteful number, since it uses less digits than its factorization.

303114420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 303114420 is about 17410.1815039361. The cubic root of 303114420 is about 671.7415300623.

Adding to 303114420 its reverse (24411303), we get a palindrome (327525723).

The spelling of 303114420 in words is "three hundred three million, one hundred fourteen thousand, four hundred twenty".