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7341705216 = 2113444257
BaseRepresentation
bin1101101011001100…
…11000100000000000
3200221122201021020000
412311212120200000
5110013434031331
63212302120000
7346635315246
oct66546304000
920848637200
107341705216
11312822387a
12150a880000
13900046791
144d90a8796
152ce8150e6
hex1b5998800

7341705216 has 120 divisors (see below), whose sum is σ = 21929617710. Its totient is φ = 2447179776.

The previous prime is 7341705211. The next prime is 7341705223. The reversal of 7341705216 is 6125071437.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 4502946816 + 2838758400 = 67104^2 + 53280^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7341705211) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 143760 + ... + 188016.

Almost surely, 27341705216 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 7341705216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10964808855).

7341705216 is an abundant number, since it is smaller than the sum of its proper divisors (14587912494).

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

7341705216 is an equidigital number, since it uses as much as digits as its factorization.

7341705216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44291 (or 44262 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 7341705216 is about 85683.7511783885. The cubic root of 7341705216 is about 1943.5646029945.

The spelling of 7341705216 in words is "seven billion, three hundred forty-one million, seven hundred five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4608 5184 6144 6912 9216 10368 13824 18432 20736 27648 41472 44257 55296 82944 88514 132771 165888 177028 265542 354056 398313 531084 708112 796626 1062168 1194939 1416224 1593252 2124336 2389878 2832448 3186504 3584817 4248672 4779756 5664896 6373008 7169634 8497344 9559512 11329792 12746016 14339268 16994688 19119024 22659584 25492032 28678536 33989376 38238048 45319168 50984064 57357072 67978752 76476096 90638336 101968128 114714144 135957504 152952192 203936256 229428288 271915008 305904384 407872512 458856576 611808768 815745024 917713152 1223617536 1835426304 2447235072 3670852608 7341705216