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3493380716 = 2272294314293
BaseRepresentation
bin1101000000111000…
…1100001001101100
3100000110102010102222
43100032030021230
524123301140331
61334351134512
7152366150300
oct32016141154
910013363388
103493380716
111532a16701
12815b14438
1343898c7a7
14251d57d00
15156a50b7b
hexd038c26c

3493380716 has 72 divisors (see below), whose sum is σ = 7528363920. Its totient is φ = 1411820928.

The previous prime is 3493380713. The next prime is 3493380719. The reversal of 3493380716 is 6170833943.

It is an interprime number because it is at equal distance from previous prime (3493380713) and next prime (3493380719).

It is not an unprimeable number, because it can be changed into a prime (3493380713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237266 + ... + 251558.

It is an arithmetic number, because the mean of its divisors is an integer number (104560610).

Almost surely, 23493380716 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 3493380716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764181960).

3493380716 is an abundant number, since it is smaller than the sum of its proper divisors (4034983204).

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

3493380716 is a wasteful number, since it uses less digits than its factorization.

3493380716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14383 (or 14374 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 44.

The square root of 3493380716 is about 59104.8281953344. The cubic root of 3493380716 is about 1517.3367369209.

The spelling of 3493380716 in words is "three billion, four hundred ninety-three million, three hundred eighty thousand, seven hundred sixteen".

Divisors: 1 2 4 7 14 28 29 43 49 58 86 98 116 172 196 203 301 406 602 812 1204 1247 1421 2107 2494 2842 4214 4988 5684 8428 8729 14293 17458 28586 34916 57172 61103 100051 122206 200102 244412 400204 414497 614599 700357 828994 1229198 1400714 1657988 2458396 2801428 2901479 4302193 5802958 8604386 11605916 17208772 17823371 20310353 30115351 35646742 40620706 60230702 71293484 81241412 120461404 124763597 249527194 499054388 873345179 1746690358 3493380716