Search a number
-
+
379886430 = 235711473499
BaseRepresentation
bin10110101001001…
…001101101011110
3222110211020012210
4112221021231132
51234222331210
6101410141250
712261660420
oct2651115536
9873736183
10379886430
11185488330
12a7281826
136091b591
143864a810
152353de20
hex16a49b5e

379886430 has 128 divisors (see below), whose sum is σ = 1161216000. Its totient is φ = 77235840.

The previous prime is 379886393. The next prime is 379886447. The reversal of 379886430 is 34688973.

It is a self number, because there is not a number n which added to its sum of digits gives 379886430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106821 + ... + 110319.

It is an arithmetic number, because the mean of its divisors is an integer number (9072000).

Almost surely, 2379886430 is an apocalyptic number.

379886430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 379886430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580608000).

379886430 is an abundant number, since it is smaller than the sum of its proper divisors (781329570).

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

379886430 is a wasteful number, since it uses less digits than its factorization.

379886430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3574.

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 379886430 is about 19490.6754628976. The cubic root of 379886430 is about 724.2434787967.

The spelling of 379886430 in words is "three hundred seventy-nine million, eight hundred eighty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 47 55 66 70 77 94 105 110 141 154 165 210 231 235 282 329 330 385 462 470 517 658 705 770 987 1034 1155 1410 1551 1645 1974 2310 2585 3102 3290 3499 3619 4935 5170 6998 7238 7755 9870 10497 10857 15510 17495 18095 20994 21714 24493 34990 36190 38489 48986 52485 54285 73479 76978 104970 108570 115467 122465 146958 164453 192445 230934 244930 269423 328906 367395 384890 493359 538846 577335 734790 808269 822265 986718 1151171 1154670 1347115 1616538 1644530 1808983 2302342 2466795 2694230 3453513 3617966 4041345 4933590 5426949 5755855 6907026 8082690 9044915 10853898 11511710 12662881 17267565 18089830 25325762 27134745 34535130 37988643 54269490 63314405 75977286 126628810 189943215 379886430