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34228108068 = 223711198812213
BaseRepresentation
bin11111111000001001…
…110111101100100100
310021100102020001021020
4133320021313230210
51030044343424233
623420231051140
72321130055350
oct377011675444
9107312201236
1034228108068
1113574969220
126772b10ab0
1332c63328ab
141929bba460
15d54e0b9b3
hex7f8277b24

34228108068 has 192 divisors, whose sum is σ = 104979732480. Its totient is φ = 8409139200.

The previous prime is 34228108067. The next prime is 34228108069. The reversal of 34228108068 is 86080182243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34228108067) and next prime (34228108069).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (34228108063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15465730 + ... + 15467942.

It is an arithmetic number, because the mean of its divisors is an integer number (546769440).

Almost surely, 234228108068 is an apocalyptic number.

34228108068 is a gapful number since it is divisible by the number (38) 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 34228108068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52489866240).

34228108068 is an abundant number, since it is smaller than the sum of its proper divisors (70751624412).

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

34228108068 is a wasteful number, since it uses less digits than its factorization.

34228108068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 34228108068 in words is "thirty-four billion, two hundred twenty-eight million, one hundred eight thousand, sixty-eight".