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305034240 = 2103572837
BaseRepresentation
bin10010001011100…
…111010000000000
3210020222100022110
4102023213100000
51111042043430
650133535320
710362514440
oct2213472000
9706870273
10305034240
11147202815
12861a4540
134b271344
142c724120
151bba57b0
hex122e7400

305034240 has 176 divisors, whose sum is σ = 1115402112. Its totient is φ = 69697536.

The previous prime is 305034187. The next prime is 305034269. The reversal of 305034240 is 42430503.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106102 + ... + 108938.

It is an arithmetic number, because the mean of its divisors is an integer number (6337512).

Almost surely, 2305034240 is an apocalyptic number.

305034240 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 305034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557701056).

305034240 is an abundant number, since it is smaller than the sum of its proper divisors (810367872).

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

305034240 is a wasteful number, since it uses less digits than its factorization.

305034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 305034240 is about 17465.2294574105. The cubic root of 305034240 is about 673.1567378815.

Adding to 305034240 its reverse (42430503), we get a palindrome (347464743).

It can be divided in two parts, 30503 and 4240, that added together give a palindrome (34743).

The spelling of 305034240 in words is "three hundred five million, thirty-four thousand, two hundred forty".