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324071680 = 2851753281
BaseRepresentation
bin10011010100001…
…111000100000000
3211120210112202211
4103110033010000
51130430243210
652053551504
711013364252
oct2324170400
9746715684
10324071680
11156a25939
1290645594
13521a85ba
143107bcd2
151d6b638a
hex1350f100

324071680 has 144 divisors (see below), whose sum is σ = 840402864. Its totient is φ = 119275520.

The previous prime is 324071639. The next prime is 324071729. The reversal of 324071680 is 86170423.

It can be written as a sum of positive squares in 8 ways, for example, as 24920064 + 299151616 = 4992^2 + 17296^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1153140 + ... + 1153420.

It is an arithmetic number, because the mean of its divisors is an integer number (5836131).

Almost surely, 2324071680 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 324071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420201432).

324071680 is an abundant number, since it is smaller than the sum of its proper divisors (516331184).

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

324071680 is a wasteful number, since it uses less digits than its factorization.

324071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 324071680 is about 18001.9910009976. The cubic root of 324071680 is about 686.8791918694.

The spelling of 324071680 in words is "three hundred twenty-four million, seventy-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 53 64 68 80 85 106 128 136 160 170 212 256 265 272 281 320 340 424 530 544 562 640 680 848 901 1060 1088 1124 1280 1360 1405 1696 1802 2120 2176 2248 2720 2810 3392 3604 4240 4352 4496 4505 4777 5440 5620 6784 7208 8480 8992 9010 9554 10880 11240 13568 14416 14893 16960 17984 18020 19108 21760 22480 23885 28832 29786 33920 35968 36040 38216 44960 47770 57664 59572 67840 71936 72080 74465 76432 89920 95540 115328 119144 144160 148930 152864 179840 191080 230656 238288 253181 288320 297860 305728 359680 382160 476576 506362 576640 595720 611456 764320 953152 1012724 1153280 1191440 1222912 1265905 1528640 1906304 2025448 2382880 2531810 3057280 3812608 4050896 4765760 5063620 6114560 8101792 9531520 10127240 16203584 19063040 20254480 32407168 40508960 64814336 81017920 162035840 324071680