Search a number
-
+
3330442320 = 2435235471103
BaseRepresentation
bin1100011010000010…
…1000010001010000
322121002210222222120
43012200220101100
523310043123240
61310250534240
7145350202242
oct30640502120
98532728876
103330442320
111459a47677
1278b437380
13410cb073a
14238462092
151475b7ad0
hexc6828450

3330442320 has 160 divisors (see below), whose sum is σ = 10802737152. Its totient is φ = 847182336.

The previous prime is 3330442319. The next prime is 3330442327. The reversal of 3330442320 is 232440333.

It is a super-2 number, since 2×33304423202 = 22183692093693964800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3330442327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3018889 + ... + 3019991.

Almost surely, 23330442320 is an apocalyptic number.

3330442320 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 3330442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5401368576).

3330442320 is an abundant number, since it is smaller than the sum of its proper divisors (7472294832).

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

3330442320 is a wasteful number, since it uses less digits than its factorization.

3330442320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 3330442320 is about 57709.9845780607. The cubic root of 3330442320 is about 1493.3695972451.

Adding to 3330442320 its reverse (232440333), we get a palindrome (3562882653).

The spelling of 3330442320 in words is "three billion, three hundred thirty million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 547 552 690 920 1094 1103 1104 1380 1641 1840 2188 2206 2735 2760 3282 3309 4376 4412 5470 5515 5520 6564 6618 8205 8752 8824 10940 11030 12581 13128 13236 16410 16545 17648 21880 22060 25162 25369 26256 26472 32820 33090 37743 43760 44120 50324 50738 52944 62905 65640 66180 75486 76107 88240 100648 101476 125810 126845 131280 132360 150972 152214 188715 201296 202952 251620 253690 264720 301944 304428 377430 380535 405904 503240 507380 603341 603888 608856 754860 761070 1006480 1014760 1206682 1217712 1509720 1522140 1810023 2029520 2413364 3016705 3019440 3044280 3620046 4826728 6033410 6088560 7240092 9050115 9653456 12066820 13876843 14480184 18100230 24133640 27753686 28960368 36200460 41630529 48267280 55507372 69384215 72400920 83261058 111014744 138768430 144801840 166522116 208152645 222029488 277536860 333044232 416305290 555073720 666088464 832610580 1110147440 1665221160 3330442320