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309241296 = 243271323599
BaseRepresentation
bin10010011011101…
…010010111010000
3210112220002022100
4102123222113100
51113131210141
650404040400
710443336060
oct2233522720
9715802270
10309241296
11149616621
1287693100
134c0b5220
142d0db3a0
151c2370b6
hex126ea5d0

309241296 has 120 divisors (see below), whose sum is σ = 1065209600. Its totient is φ = 81554688.

The previous prime is 309241277. The next prime is 309241333. The reversal of 309241296 is 692142903.

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 309241296.

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, 1305 + ... + 24903.

Almost surely, 2309241296 is an apocalyptic number.

309241296 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 309241296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532604800).

309241296 is an abundant number, since it is smaller than the sum of its proper divisors (755968304).

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

309241296 is a wasteful number, since it uses less digits than its factorization.

309241296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23633 (or 23624 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 309241296 is about 17585.2579167893. The cubic root of 309241296 is about 676.2373616470.

The spelling of 309241296 in words is "three hundred nine million, two hundred forty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 23599 47198 70797 94396 141594 165193 188792 212391 283188 306787 330386 377584 424782 495579 566376 613574 660772 849564 920361 991158 1132752 1227148 1321544 1486737 1699128 1840722 1982316 2147509 2454296 2643088 2761083 2973474 3398256 3681444 3964632 4295018 4908592 5522166 5946948 6442527 7362888 7929264 8590036 11044332 11893896 12885054 14725776 17180072 19327581 22088664 23787792 25770108 34360144 38655162 44177328 51540216 77310324 103080432 154620648 309241296