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309929472 = 2932103653
BaseRepresentation
bin10010011110010…
…010011000000000
3210121012001022100
4102132102120000
51113320220342
650430510400
710452233316
oct2236223000
9717161270
10309929472
11149a46666
1287965400
134c296528
142d23a0b6
151c320e4c
hex12792600

309929472 has 120 divisors (see below), whose sum is σ = 904544784. Its totient is φ = 102150144.

The previous prime is 309929447. The next prime is 309929479. The reversal of 309929472 is 274929903.

It is a super-2 number, since 2×3099294722 = 192112555228397568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309929479) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 474298 + ... + 474950.

Almost surely, 2309929472 is an apocalyptic number.

309929472 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 309929472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452272392).

309929472 is an abundant number, since it is smaller than the sum of its proper divisors (594615312).

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

309929472 is a wasteful number, since it uses less digits than its factorization.

309929472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 309929472 is about 17604.8138871162. The cubic root of 309929472 is about 676.7386158972.

The spelling of 309929472 in words is "three hundred nine million, nine hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 128 144 192 206 256 288 309 384 412 512 576 618 653 768 824 927 1152 1236 1306 1536 1648 1854 1959 2304 2472 2612 3296 3708 3918 4608 4944 5224 5877 6592 7416 7836 9888 10448 11754 13184 14832 15672 19776 20896 23508 26368 29664 31344 39552 41792 47016 52736 59328 62688 67259 79104 83584 94032 118656 125376 134518 158208 167168 188064 201777 237312 250752 269036 334336 376128 403554 474624 501504 538072 605331 752256 807108 1003008 1076144 1210662 1504512 1614216 2152288 2421324 3009024 3228432 4304576 4842648 6456864 8609152 9685296 12913728 17218304 19370592 25827456 34436608 38741184 51654912 77482368 103309824 154964736 309929472