| Base | Representation |
|---|---|
| bin | 1100101000010011… |
| … | …1101000101010000 |
| 3 | 22202021102220100100 |
| 4 | 3022010331011100 |
| 5 | 23420403441100 |
| 6 | 1320225452400 |
| 7 | 150005021031 |
| oct | 31204750520 |
| 9 | 8667386310 |
| 10 | 3390296400 |
| 11 | 148a808957 |
| 12 | 7a74a1100 |
| 13 | 42050915a |
| 14 | 2423a2a88 |
| 15 | 14c98c400 |
| hex | ca13d150 |
3390296400 has 360 divisors, whose sum is σ = 12866390784. Its totient is φ = 822988800.
The previous prime is 3390296389. The next prime is 3390296411. The reversal of 3390296400 is 46920933.
It is a happy number.
3390296400 is a `hidden beast` number, since 3 + 3 + 9 + 0 + 2 + 9 + 640 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (3390296389) and next prime (3390296411).
It is a tau number, because it is divible by the number of its divisors (360).
It is a super-2 number, since 2×33902964002 = 22988219359705920000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
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 71 ways as a sum of consecutive naturals, for example, 1896307 + ... + 1898093.
Almost surely, 23390296400 is an apocalyptic number.
3390296400 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 3390296400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6433195392).
3390296400 is an abundant number, since it is smaller than the sum of its proper divisors (9476094384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3390296400 is a wasteful number, since it uses less digits than its factorization.
3390296400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1859 (or 1845 counting only the distinct ones).
The product of its (nonzero) digits is 34992, while the sum is 36.
The square root of 3390296400 is about 58226.2518113608. The cubic root of 3390296400 is about 1502.2627183542.
The spelling of 3390296400 in words is "three billion, three hundred ninety million, two hundred ninety-six thousand, four hundred".
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