Search a number
-
+
327406080 = 293589479
BaseRepresentation
bin10011100000111…
…101001000000000
3211211001221201010
4103200331020000
51132303443310
652253240520
711053622451
oct2340751000
9754057633
10327406080
111588a3041
1291793140
1352aa5211
14316a9128
151db24320
hex1383d200

327406080 has 160 divisors (see below), whose sum is σ = 1060646400. Its totient is φ = 86147072.

The previous prime is 327406067. The next prime is 327406103. The reversal of 327406080 is 80604723.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 683281 + ... + 683759.

It is an arithmetic number, because the mean of its divisors is an integer number (6629040).

Almost surely, 2327406080 is an apocalyptic number.

327406080 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 327406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530323200).

327406080 is an abundant number, since it is smaller than the sum of its proper divisors (733240320).

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

327406080 is an equidigital number, since it uses as much as digits as its factorization.

327406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 327406080 is about 18094.3659739710. The cubic root of 327406080 is about 689.2269434966.

The spelling of 327406080 in words is "three hundred twenty-seven million, four hundred six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 89 96 120 128 160 178 192 240 256 267 320 356 384 445 479 480 512 534 640 712 768 890 958 960 1068 1280 1335 1424 1437 1536 1780 1916 1920 2136 2395 2560 2670 2848 2874 3560 3832 3840 4272 4790 5340 5696 5748 7120 7185 7664 7680 8544 9580 10680 11392 11496 14240 14370 15328 17088 19160 21360 22784 22992 28480 28740 30656 34176 38320 42631 42720 45568 45984 56960 57480 61312 68352 76640 85262 85440 91968 113920 114960 122624 127893 136704 153280 170524 170880 183936 213155 227840 229920 245248 255786 306560 341048 341760 367872 426310 459840 511572 613120 639465 682096 683520 735744 852620 919680 1023144 1226240 1278930 1364192 1705240 1839360 2046288 2557860 2728384 3410480 3678720 4092576 5115720 5456768 6820960 8185152 10231440 10913536 13641920 16370304 20462880 21827072 27283840 32740608 40925760 54567680 65481216 81851520 109135360 163703040 327406080