Search a number
-
+
34680621696 = 2737472111301
BaseRepresentation
bin100000010011001000…
…000100101010000000
310022111221201010021020
4200103020010222000
51032011214343241
623533154025440
72335263264150
oct402310045200
9108457633236
1034680621696
1113787341426
12687a578280
133368ccc736
14196dd30760
15d7e9e4b66
hex813204a80

34680621696 has 256 divisors, whose sum is σ = 108113080320. Its totient is φ = 9644544000.

The previous prime is 34680621637. The next prime is 34680621697. The reversal of 34680621696 is 69612608643.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34680621697) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26656246 + ... + 26657546.

It is an arithmetic number, because the mean of its divisors is an integer number (422316720).

Almost surely, 234680621696 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 34680621696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54056540160).

34680621696 is an abundant number, since it is smaller than the sum of its proper divisors (73432458624).

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

34680621696 is a wasteful number, since it uses less digits than its factorization.

34680621696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 34680621696 in words is "thirty-four billion, six hundred eighty million, six hundred twenty-one thousand, six hundred ninety-six".