Search a number
-
+
3416203320 = 2335791732083
BaseRepresentation
bin1100101110011111…
…0010000000111000
322211002012002221220
43023213302000320
523444022001240
61322553032040
7150441151305
oct31347620070
98732162856
103416203320
1114a33a3132
127b40b5620
134259aa0aa
142459c80ac
1514eda85d0
hexcb9f2038

3416203320 has 128 divisors (see below), whose sum is σ = 10443340800. Its totient is φ = 893827584.

The previous prime is 3416203289. The next prime is 3416203333. The reversal of 3416203320 is 233026143.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1638999 + ... + 1641081.

It is an arithmetic number, because the mean of its divisors is an integer number (81588600).

Almost surely, 23416203320 is an apocalyptic number.

3416203320 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 3416203320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5221670400).

3416203320 is an abundant number, since it is smaller than the sum of its proper divisors (7027137480).

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

3416203320 is a wasteful number, since it uses less digits than its factorization.

3416203320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3416203320 is about 58448.2961257212. The cubic root of 3416203320 is about 1506.0795218754.

Adding to 3416203320 its reverse (233026143), we get a palindrome (3649229463).

The spelling of 3416203320 in words is "three billion, four hundred sixteen million, two hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 173 237 316 346 395 474 519 632 692 790 865 948 1038 1185 1384 1580 1730 1896 2076 2083 2370 2595 3160 3460 4152 4166 4740 5190 6249 6920 8332 9480 10380 10415 12498 13667 16664 20760 20830 24996 27334 31245 41001 41660 49992 54668 62490 68335 82002 83320 109336 124980 136670 164004 164557 205005 249960 273340 328008 329114 360359 410010 493671 546680 658228 720718 820020 822785 987342 1081077 1316456 1441436 1640040 1645570 1801795 1974684 2162154 2468355 2882872 3291140 3603590 3949368 4324308 4936710 5405385 6582280 7207180 8648616 9873420 10810770 14414360 19746840 21621540 28468361 43243080 56936722 85405083 113873444 142341805 170810166 227746888 284683610 341620332 427025415 569367220 683240664 854050830 1138734440 1708101660 3416203320