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34327306656 = 253340199079
BaseRepresentation
bin11111111110000100…
…010010000110100000
310021121022212212011000
4133332010102012200
51030300242303111
623434133152000
72323443202146
oct377604220640
9107538785130
1034327306656
1113615962625
1267a018b600
133310a55696
14193903d596
15d5d9a3c56
hex7fe1121a0

34327306656 has 96 divisors (see below), whose sum is σ = 100372003200. Its totient is φ = 11413785600.

The previous prime is 34327306597. The next prime is 34327306723. The reversal of 34327306656 is 65660372343.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296925 + ... + 396003.

It is an arithmetic number, because the mean of its divisors is an integer number (1045541700).

Almost surely, 234327306656 is an apocalyptic number.

34327306656 is a gapful number since it is divisible by the number (36) 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 34327306656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50186001600).

34327306656 is an abundant number, since it is smaller than the sum of its proper divisors (66044696544).

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

34327306656 is a wasteful number, since it uses less digits than its factorization.

34327306656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99499 (or 99485 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 45.

Adding to 34327306656 its reverse (65660372343), we get a palindrome (99987678999).

The spelling of 34327306656 in words is "thirty-four billion, three hundred twenty-seven million, three hundred six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 401 432 802 864 1203 1604 2406 3208 3609 4812 6416 7218 9624 10827 12832 14436 19248 21654 28872 38496 43308 57744 86616 99079 115488 173232 198158 297237 346464 396316 594474 792632 891711 1188948 1585264 1783422 2377896 2675133 3170528 3566844 4755792 5350266 7133688 9511584 10700532 14267376 21401064 28534752 39730679 42802128 79461358 85604256 119192037 158922716 238384074 317845432 357576111 476768148 635690864 715152222 953536296 1072728333 1271381728 1430304444 1907072592 2145456666 2860608888 3814145184 4290913332 5721217776 8581826664 11442435552 17163653328 34327306656