Search a number
-
+
344531000000 = 26561131321
BaseRepresentation
bin1010000001101111010…
…01011101101011000000
31012221021221212012202102
411000313221131223000
521121044414000000
6422135251005532
733614541115565
oct5006751355300
91187257765672
10344531000000
11123129849740
12569328998a8
132664881cb55
14129653a886c
158e66d593d5
hex5037a5dac0

344531000000 has 196 divisors, whose sum is σ = 932306972568. Its totient is φ = 125280000000.

The previous prime is 344530999957. The next prime is 344531000003. The reversal of 344531000000 is 135443.

It is a super-2 number, since 2×3445310000002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (344531000003) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10984340 + ... + 11015660.

Almost surely, 2344531000000 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 344531000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466153486284).

344531000000 is an abundant number, since it is smaller than the sum of its proper divisors (587775972568).

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

344531000000 is an frugal number, since it uses more digits than its factorization.

344531000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31374 (or 31339 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 344531000000 its reverse (135443), we get a palindrome (344531135443).

The spelling of 344531000000 in words is "three hundred forty-four billion, five hundred thirty-one million", and thus it is an aban number.