Base | Representation |
---|---|
bin | 10110010011100… |
… | …001010100100000 |
3 | 222002011010210200 |
4 | 112103201110200 |
5 | 1231244402333 |
6 | 101044425200 |
7 | 12162532440 |
oct | 2623412440 |
9 | 862133720 |
10 | 374215968 |
11 | 182264aa5 |
12 | a53a8200 |
13 | 5c6b4589 |
14 | 379b2120 |
15 | 22cbdc13 |
hex | 164e1520 |
374215968 has 288 divisors, whose sum is σ = 1316165760. Its totient is φ = 98426880.
The previous prime is 374215967. The next prime is 374215981. The reversal of 374215968 is 869512473.
374215968 is a `hidden beast` number, since 37 + 4 + 21 + 596 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
Its product of digits (362880) is a multiple of the sum of its prime factors (280).
It is not an unprimeable number, because it can be changed into a prime (374215967) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 2090503 + ... + 2090681.
It is an arithmetic number, because the mean of its divisors is an integer number (4570020).
Almost surely, 2374215968 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 374215968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658082880).
374215968 is an abundant number, since it is smaller than the sum of its proper divisors (941949792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
374215968 is a wasteful number, since it uses less digits than its factorization.
374215968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 280 (or 269 counting only the distinct ones).
The product of its digits is 362880, while the sum is 45.
The square root of 374215968 is about 19344.6625196719. The cubic root of 374215968 is about 720.6218701382.
The spelling of 374215968 in words is "three hundred seventy-four million, two hundred fifteen thousand, nine hundred sixty-eight".
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