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379517436 = 223237714013
BaseRepresentation
bin10110100111101…
…111100111111100
3222110010111001100
4112213233213330
51234124024221
6101354213100
712255562554
oct2647574774
9873114040
10379517436
11185256081
12a7124190
136081c63c
1438592164
15234b9926
hex169ef9fc

379517436 has 72 divisors (see below), whose sum is σ = 999389664. Its totient is φ = 121322880.

The previous prime is 379517431. The next prime is 379517497. The reversal of 379517436 is 634715973.

It is a super-3 number, since 3×3795174363 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 379517391 and 379517400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379517431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92566 + ... + 96578.

It is an arithmetic number, because the mean of its divisors is an integer number (13880412).

Almost surely, 2379517436 is an apocalyptic number.

379517436 is a gapful number since it is divisible by the number (36) 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 379517436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499694832).

379517436 is an abundant number, since it is smaller than the sum of its proper divisors (619872228).

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

379517436 is a wasteful number, since it uses less digits than its factorization.

379517436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4131 (or 4126 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 379517436 is about 19481.2072521186. The cubic root of 379517436 is about 724.0089103835.

The spelling of 379517436 in words is "three hundred seventy-nine million, five hundred seventeen thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 71 74 111 142 148 213 222 284 333 426 444 639 666 852 1278 1332 2556 2627 4013 5254 7881 8026 10508 12039 15762 16052 23643 24078 31524 36117 47286 48156 72234 94572 144468 148481 284923 296962 445443 569846 593924 854769 890886 1139692 1336329 1709538 1781772 2564307 2672658 3419076 5128614 5345316 10257228 10542151 21084302 31626453 42168604 63252906 94879359 126505812 189758718 379517436