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2309884128 = 25351272339
BaseRepresentation
bin1000100110101110…
…0000100011100000
312221222110021100000
42021223200203200
514212312243003
61021112500000
7111145456026
oct21153404340
95858407300
102309884128
11a85962152
125456aa600
132aa726056
1417cac2716
15d7bc51a3
hex89ae08e0

2309884128 has 144 divisors (see below), whose sum is σ = 6868592640. Its totient is φ = 763572096.

The previous prime is 2309884111. The next prime is 2309884141. The reversal of 2309884128 is 8214889032.

It is a tau number, because it is divible by the number of its divisors (144).

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, 986383 + ... + 988721.

It is an arithmetic number, because the mean of its divisors is an integer number (47698560).

Almost surely, 22309884128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2309884128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434296320).

2309884128 is an abundant number, since it is smaller than the sum of its proper divisors (4558708512).

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

2309884128 is a wasteful number, since it uses less digits than its factorization.

2309884128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2309884128 is about 48061.2539162265. The cubic root of 2309884128 is about 1321.8943050146.

The spelling of 2309884128 in words is "two billion, three hundred nine million, eight hundred eighty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 127 144 162 216 243 254 288 324 381 432 486 508 648 762 864 972 1016 1143 1296 1524 1944 2032 2286 2339 2592 3048 3429 3888 4064 4572 4678 6096 6858 7017 7776 9144 9356 10287 12192 13716 14034 18288 18712 20574 21051 27432 28068 30861 36576 37424 41148 42102 54864 56136 61722 63153 74848 82296 84204 109728 112272 123444 126306 164592 168408 189459 224544 246888 252612 297053 329184 336816 378918 493776 505224 568377 594106 673632 757836 891159 987552 1010448 1136754 1188212 1515672 1782318 2020896 2273508 2376424 2673477 3031344 3564636 4547016 4752848 5346954 6062688 7129272 8020431 9094032 9505696 10693908 14258544 16040862 18188064 21387816 24061293 28517088 32081724 42775632 48122586 64163448 72183879 85551264 96245172 128326896 144367758 192490344 256653792 288735516 384980688 577471032 769961376 1154942064 2309884128