| Base | Representation |
|---|---|
| bin | 10010000111100… |
| … | …00110100100000 |
| 3 | 101120222110012200 |
| 4 | 21003300310200 |
| 5 | 302401400334 |
| 6 | 23025253200 |
| 7 | 3523551204 |
| oct | 1103606440 |
| 9 | 346873180 |
| 10 | 151981344 |
| 11 | 78875919 |
| 12 | 42a94200 |
| 13 | 256439b8 |
| 14 | 16282b04 |
| 15 | d521799 |
| hex | 90f0d20 |
151981344 has 144 divisors (see below), whose sum is σ = 462309120. Its totient is φ = 47255040.
The previous prime is 151981337. The next prime is 151981351. The reversal of 151981344 is 443189151.
151981344 is a `hidden beast` number, since 1 + 519 + 8 + 134 + 4 = 666.
151981344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (151981337) and next prime (151981351).
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 151981299 and 151981308.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258619 + ... + 259205.
It is an arithmetic number, because the mean of its divisors is an integer number (3210480).
Almost surely, 2151981344 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 151981344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).
151981344 is an abundant number, since it is smaller than the sum of its proper divisors (310327776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
151981344 is a wasteful number, since it uses less digits than its factorization.
151981344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 663 (or 652 counting only the distinct ones).
The product of its digits is 17280, while the sum is 36.
The square root of 151981344 is about 12328.0713820127. The cubic root of 151981344 is about 533.6584947716.
The spelling of 151981344 in words is "one hundred fifty-one million, nine hundred eighty-one thousand, three hundred forty-four".
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