Search a number
-
+
341147664 = 2432111316567
BaseRepresentation
bin10100010101011…
…000000000010000
3212202221002121200
4110111120000100
51144313211124
653503551200
711311464414
oct2425300020
9782832550
10341147664
11165629320
12962bb500
13558a6b30
1433444d44
151ee3abc9
hex14558010

341147664 has 120 divisors (see below), whose sum is σ = 1121719872. Its totient is φ = 95420160.

The previous prime is 341147663. The next prime is 341147689. The reversal of 341147664 is 466741143.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (341147663) 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, 12309 + ... + 28875.

Almost surely, 2341147664 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 341147664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560859936).

341147664 is an abundant number, since it is smaller than the sum of its proper divisors (780572208).

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

341147664 is a wasteful number, since it uses less digits than its factorization.

341147664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16605 (or 16596 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 341147664 is about 18470.1831068346. The cubic root of 341147664 is about 698.7376323198.

The spelling of 341147664 in words is "three hundred forty-one million, one hundred forty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 5148 6864 10296 16567 20592 33134 49701 66268 99402 132536 149103 182237 198804 215371 265072 298206 364474 397608 430742 546711 596412 646113 728948 795216 861484 1093422 1192824 1292226 1457896 1640133 1722968 1938339 2186844 2369081 2385648 2584452 2915792 3280266 3445936 3876678 4373688 4738162 5168904 6560532 7107243 7753356 8747376 9476324 10337808 13121064 14214486 15506712 18952648 21321729 26242128 28428972 31013424 37905296 42643458 56857944 85286916 113715888 170573832 341147664