Search a number
-
+
3214320240 = 243537361973
BaseRepresentation
bin1011111110010110…
…1010001001110000
322022000022101102210
42333211222021300
523040331221430
61250542012120
7142440162015
oct27745521160
98260271383
103214320240
1113aa44440a
12758577040
133c2c13951
14226c7570c
1513c2cb2b0
hexbf96a270

3214320240 has 80 divisors (see below), whose sum is σ = 10233728928. Its totient is φ = 833983488.

The previous prime is 3214320233. The next prime is 3214320247. The reversal of 3214320240 is 420234123.

It is an interprime number because it is at equal distance from previous prime (3214320233) and next prime (3214320247).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3214320247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172107 + ... + 189866.

Almost surely, 23214320240 is an apocalyptic number.

3214320240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3214320240 is an abundant number, since it is smaller than the sum of its proper divisors (7019408688).

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

3214320240 is a wasteful number, since it uses less digits than its factorization.

3214320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362026 (or 362020 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3214320240 is about 56694.9754387459. The cubic root of 3214320240 is about 1475.8075042182.

Adding to 3214320240 its reverse (420234123), we get a palindrome (3634554363).

The spelling of 3214320240 in words is "three billion, two hundred fourteen million, three hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 361973 723946 1085919 1447892 1809865 2171838 2895784 3619730 4343676 5429595 5791568 7239460 8687352 10859190 13393001 14478920 17374704 21718380 26786002 28957840 40179003 43436760 53572004 66965005 80358006 86873520 107144008 133930010 160716012 200895015 214288016 267860020 321432024 401790030 535720040 642864048 803580060 1071440080 1607160120 3214320240