| Base | Representation |
|---|---|
| bin | 10101000110110… |
| … | …111101100000000 |
| 3 | 220200100021202000 |
| 4 | 111012313230000 |
| 5 | 1211123404441 |
| 6 | 55050024000 |
| 7 | 11526664050 |
| oct | 2506675400 |
| 9 | 820307660 |
| 10 | 354122496 |
| 11 | 171990522 |
| 12 | 9a718000 |
| 13 | 5849a750 |
| 14 | 35061560 |
| 15 | 211502b6 |
| hex | 151b7b00 |
354122496 has 288 divisors, whose sum is σ = 1291153920. Its totient is φ = 93229056.
The previous prime is 354122473. The next prime is 354122519. The reversal of 354122496 is 694221453.
It is a happy number.
354122496 is a `hidden beast` number, since 3 + 541 + 2 + 24 + 96 = 666.
It is an interprime number because it is at equal distance from previous prime (354122473) and next prime (354122519).
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 354122496.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628711 + ... + 629273.
Almost surely, 2354122496 is an apocalyptic number.
354122496 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 354122496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645576960).
354122496 is an abundant number, since it is smaller than the sum of its proper divisors (937031424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
354122496 is a wasteful number, since it uses less digits than its factorization.
354122496 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 608 (or 588 counting only the distinct ones).
The product of its digits is 51840, while the sum is 36.
The square root of 354122496 is about 18818.1427351373. The cubic root of 354122496 is about 707.4859814009.
The spelling of 354122496 in words is "three hundred fifty-four million, one hundred twenty-two thousand, four hundred ninety-six".
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