Search a number
-
+
381134340 = 223258397263
BaseRepresentation
bin10110101101111…
…010011000000100
3222120011122000200
4112231322120010
51240032244330
6101453010500
712305405556
oct2655723004
9876148020
10381134340
1118615a964
12a7783a30
1360c675a2
14388934d6
15236d8a60
hex16b7a604

381134340 has 144 divisors (see below), whose sum is σ = 1186593408. Its totient is φ = 98998272.

The previous prime is 381134329. The next prime is 381134353. The reversal of 381134340 is 43431183.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1449049 + ... + 1449311.

It is an arithmetic number, because the mean of its divisors is an integer number (8240232).

Almost surely, 2381134340 is an apocalyptic number.

381134340 is a gapful number since it is divisible by the number (30) 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 381134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593296704).

381134340 is an abundant number, since it is smaller than the sum of its proper divisors (805459068).

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

381134340 is a wasteful number, since it uses less digits than its factorization.

381134340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 381134340 is about 19522.6622159991. The cubic root of 381134340 is about 725.0356478706.

The spelling of 381134340 in words is "three hundred eighty-one million, one hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 97 166 180 194 249 263 291 332 388 415 485 498 526 582 747 789 830 873 970 996 1052 1164 1245 1315 1455 1494 1578 1660 1746 1940 2367 2490 2630 2910 2988 3156 3492 3735 3945 4365 4734 4980 5260 5820 7470 7890 8051 8730 9468 11835 14940 15780 16102 17460 21829 23670 24153 25511 32204 40255 43658 47340 48306 51022 65487 72459 76533 80510 87316 96612 102044 109145 120765 127555 130974 144918 153066 161020 196461 218290 229599 241530 255110 261948 289836 306132 327435 362295 382665 392922 436580 459198 483060 510220 654870 724590 765330 785844 918396 982305 1147995 1309740 1449180 1530660 1964610 2117413 2295990 3929220 4234826 4591980 6352239 8469652 10587065 12704478 19056717 21174130 25408956 31761195 38113434 42348260 63522390 76226868 95283585 127044780 190567170 381134340