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379347705 = 3451127741
BaseRepresentation
bin10110100111000…
…110001011111001
3222102210212020000
4112213012023321
51234103111310
6101350423213
712254254662
oct2647061371
9872725200
10379347705
1118514a600
12a7061b09
13607902c9
143854a369
15234844c0
hex169c62f9

379347705 has 60 divisors (see below), whose sum is σ = 747552036. Its totient is φ = 183902400.

The previous prime is 379347701. The next prime is 379347739. The reversal of 379347705 is 507743973.

It can be written as a sum of positive squares in 2 ways, for example, as 106007616 + 273340089 = 10296^2 + 16533^2 .

It is not a de Polignac number, because 379347705 - 22 = 379347701 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (379347701) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 45135 + ... + 52875.

Almost surely, 2379347705 is an apocalyptic number.

It is an amenable number.

379347705 is a deficient number, since it is larger than the sum of its proper divisors (368204331).

379347705 is a wasteful number, since it uses less digits than its factorization.

379347705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7780 (or 7760 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 45.

The square root of 379347705 is about 19476.8504897481. The cubic root of 379347705 is about 723.9009618250.

The spelling of 379347705 in words is "three hundred seventy-nine million, three hundred forty-seven thousand, seven hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 121 135 165 297 363 405 495 605 891 1089 1485 1815 3267 4455 5445 7741 9801 16335 23223 38705 49005 69669 85151 116115 209007 255453 348345 425755 627021 766359 936661 1045035 1277265 2299077 2809983 3135105 3831795 4683305 6897231 8429949 11495385 14049915 25289847 34486155 42149745 75869541 126449235 379347705