Search a number
-
+
3034587236352 = 211371131673739
BaseRepresentation
bin101100001010001011011…
…111101000100000000000
3101202002210121020221002220
4230022023133220200000
5344204313313030402
610242023052011040
7432145620625620
oct54121337504000
911662717227086
103034587236352
11a6aa63424331
12410159160a80
13190211393829
14a6c36678880
1553e0ae3ddbc
hex2c28b7e8800

3034587236352 has 384 divisors, whose sum is σ = 9386196019200. Its totient is φ = 853977858048.

The previous prime is 3034587236347. The next prime is 3034587236363. The reversal of 3034587236352 is 2536327854303.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×30345872363522 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3034587236295 and 3034587236304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 811602099 + ... + 811605837.

It is an arithmetic number, because the mean of its divisors is an integer number (24443218800).

Almost surely, 23034587236352 is an apocalyptic number.

3034587236352 is a gapful number since it is divisible by the number (32) 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 3034587236352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4693098009600).

3034587236352 is an abundant number, since it is smaller than the sum of its proper divisors (6351608782848).

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

3034587236352 is a wasteful number, since it uses less digits than its factorization.

3034587236352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4051 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 51.

The spelling of 3034587236352 in words is "three trillion, thirty-four billion, five hundred eighty-seven million, two hundred thirty-six thousand, three hundred fifty-two".