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309799296 = 2733175273
BaseRepresentation
bin10010011101110…
…010100110000000
3210120221102202000
4102131302212000
51113302034141
650424024000
710451151642
oct2235624600
9716842660
10309799296
11149967884
1287902000
134c24c1c1
142d204892
151c2e75b6
hex12772980

309799296 has 128 divisors (see below), whose sum is σ = 968306400. Its totient is φ = 97173504.

The previous prime is 309799291. The next prime is 309799309. The reversal of 309799296 is 692997903.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309799291) 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, 56116 + ... + 61388.

Almost surely, 2309799296 is an apocalyptic number.

309799296 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 309799296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484153200).

309799296 is an abundant number, since it is smaller than the sum of its proper divisors (658507104).

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

309799296 is a wasteful number, since it uses less digits than its factorization.

309799296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5313 (or 5295 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 54.

The square root of 309799296 is about 17601.1163282333. The cubic root of 309799296 is about 676.6438551309.

The spelling of 309799296 in words is "three hundred nine million, seven hundred ninety-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1224 1632 1728 1836 2176 2448 3264 3456 3672 4896 5273 6528 7344 9792 10546 14688 15819 19584 21092 29376 31638 42184 47457 58752 63276 84368 89641 94914 126552 142371 168736 179282 189828 253104 268923 284742 337472 358564 379656 506208 537846 569484 674944 717128 759312 806769 1012416 1075692 1138968 1434256 1518624 1613538 2024832 2151384 2277936 2420307 2868512 3037248 3227076 4302768 4555872 4840614 5737024 6074496 6454152 8605536 9111744 9681228 11474048 12908304 17211072 18223488 19362456 25816608 34422144 38724912 51633216 77449824 103266432 154899648 309799296