Search a number
-
+
3422433200 = 2452172691871
BaseRepresentation
bin1100101111111110…
…0010111110110000
322211111220121202012
43023333202332300
524002120330300
61323334342052
7150545126234
oct31377427660
98744817665
103422433200
1114a696879a
127b61ba928
1342707b904
1424676a5c4
151506d9435
hexcbfe2fb0

3422433200 has 120 divisors (see below), whose sum is σ = 8743101120. Its totient is φ = 1282969600.

The previous prime is 3422433193. The next prime is 3422433227. The reversal of 3422433200 is 23342243.

It is a super-4 number, since 4×34224332004 (a number of 39 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1828265 + ... + 1830135.

It is an arithmetic number, because the mean of its divisors is an integer number (72859176).

Almost surely, 23422433200 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 3422433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4371550560).

3422433200 is an abundant number, since it is smaller than the sum of its proper divisors (5320667920).

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

3422433200 is a wasteful number, since it uses less digits than its factorization.

3422433200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 3422433200 is about 58501.5657910111. The cubic root of 3422433200 is about 1506.9944749265.

Adding to 3422433200 its reverse (23342243), we get a palindrome (3445775443).

The spelling of 3422433200 in words is "three billion, four hundred twenty-two million, four hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 269 272 340 400 425 538 680 850 1076 1345 1360 1700 1871 2152 2690 3400 3742 4304 4573 5380 6725 6800 7484 9146 9355 10760 13450 14968 18292 18710 21520 22865 26900 29936 31807 36584 37420 45730 46775 53800 63614 73168 74840 91460 93550 107600 114325 127228 149680 159035 182920 187100 228650 254456 318070 365840 374200 457300 503299 508912 636140 748400 795175 914600 1006598 1272280 1590350 1829200 2013196 2516495 2544560 3180700 4026392 5032990 6361400 8052784 8556083 10065980 12582475 12722800 17112166 20131960 25164950 34224332 40263920 42780415 50329900 68448664 85560830 100659800 136897328 171121660 201319600 213902075 342243320 427804150 684486640 855608300 1711216600 3422433200