Search a number
-
+
300412842444 = 2234112133789179
BaseRepresentation
bin1000101111100100000…
…00000011000111001100
31001201102021202121010000
410113302000003013030
514410221141424234
6350001401444300
730463340012541
oct4276200030714
91051367677100
10300412842444
1110644a243a00
124a27b7a0690
1322437518790
141077bccabc8
157c33a5c899
hex45f20031cc

300412842444 has 720 divisors, whose sum is σ = 970871378400. Its totient is φ = 80390154240.

The previous prime is 300412842421. The next prime is 300412842449. The reversal of 300412842444 is 444248214003.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 300412842399 and 300412842408.

It is not an unprimeable number, because it can be changed into a prime (300412842449) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1678283947 + ... + 1678284125.

It is an arithmetic number, because the mean of its divisors is an integer number (1348432470).

Almost surely, 2300412842444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300412842444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485435689200).

300412842444 is an abundant number, since it is smaller than the sum of its proper divisors (670458535956).

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

300412842444 is a wasteful number, since it uses less digits than its factorization.

300412842444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 300412842444 in words is "three hundred billion, four hundred twelve million, eight hundred forty-two thousand, four hundred forty-four".