| Base | Representation |
|---|---|
| bin | 1100101010110001… |
| … | …1001001000000000 |
| 3 | 22202222220011002000 |
| 4 | 3022230121020000 |
| 5 | 23431030304010 |
| 6 | 1321235224000 |
| 7 | 150161630256 |
| oct | 31254311000 |
| 9 | 8688804060 |
| 10 | 3400634880 |
| 11 | 149562a355 |
| 12 | 7aaa48000 |
| 13 | 4226b8ab6 |
| 14 | 2438d45d6 |
| 15 | 14d8307c0 |
| hex | cab19200 |
3400634880 has 160 divisors (see below), whose sum is σ = 12079584000. Its totient is φ = 906817536.
The previous prime is 3400634879. The next prime is 3400634891. The reversal of 3400634880 is 884360043.
It is a tau number, because it is divible by the number of its divisors (160).
It is a super-2 number, since 2×34006348802 = 23128635174145228800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44521 + ... + 93719.
It is an arithmetic number, because the mean of its divisors is an integer number (75497400).
Almost surely, 23400634880 is an apocalyptic number.
3400634880 is a gapful number since it is divisible by the number (30) 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 3400634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6039792000).
3400634880 is an abundant number, since it is smaller than the sum of its proper divisors (8678949120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3400634880 is an equidigital number, since it uses as much as digits as its factorization.
3400634880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 49231 (or 49209 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 36.
The square root of 3400634880 is about 58314.9627454224. The cubic root of 3400634880 is about 1503.7881850491.
It can be divided in two parts, 34006 and 34880, that added together give a palindrome (68886).
The spelling of 3400634880 in words is "three billion, four hundred million, six hundred thirty-four thousand, eight hundred eighty".
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