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344068992 = 2733293433
BaseRepresentation
bin10100100000100…
…001001110000000
3212222102111221000
4110200201032000
51201040201432
654050332000
711345352411
oct2440411600
9788374830
10344068992
11167244143
129728a000
135638a727
14339a5808
152031657c
hex14821380

344068992 has 128 divisors (see below), whose sum is σ = 1050804000. Its totient is φ = 110702592.

The previous prime is 344068913. The next prime is 344068993. The reversal of 344068992 is 299860443.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344068993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98508 + ... + 101940.

Almost surely, 2344068992 is an apocalyptic number.

344068992 is a gapful number since it is divisible by the number (32) 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 344068992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525402000).

344068992 is an abundant number, since it is smaller than the sum of its proper divisors (706735008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

344068992 is a wasteful number, since it uses less digits than its factorization.

344068992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3485 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 344068992 is about 18549.0967974185. The cubic root of 344068992 is about 700.7264512793.

The spelling of 344068992 in words is "three hundred forty-four million, sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 261 288 348 384 432 464 522 576 696 783 864 928 1044 1152 1392 1566 1728 1856 2088 2784 3132 3433 3456 3712 4176 5568 6264 6866 8352 10299 11136 12528 13732 16704 20598 25056 27464 30897 33408 41196 50112 54928 61794 82392 92691 99557 100224 109856 123588 164784 185382 199114 219712 247176 298671 329568 370764 398228 439424 494352 597342 659136 741528 796456 896013 988704 1194684 1318272 1483056 1592912 1792026 1977408 2389368 2688039 2966112 3185824 3584052 3954816 4778736 5376078 5932224 6371648 7168104 9557472 10752156 11864448 12743296 14336208 19114944 21504312 28672416 38229888 43008624 57344832 86017248 114689664 172034496 344068992