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3422445000 = 233541317551
BaseRepresentation
bin1100101111111110…
…0101110111001000
322211111221012221020
43023333211313020
524002121220000
61323334512440
7150545205522
oct31377456710
98744835836
103422445000
1114a6976647
127b6205720
134270840b0
14246770a12
151506dcba0
hexcbfe5dc8

3422445000 has 160 divisors (see below), whose sum is σ = 11514814080. Its totient is φ = 842400000.

The previous prime is 3422444959. The next prime is 3422445017. The reversal of 3422445000 is 5442243.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 186225 + ... + 203775.

It is an arithmetic number, because the mean of its divisors is an integer number (71967588).

Almost surely, 23422445000 is an apocalyptic number.

3422445000 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 3422445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5757407040).

3422445000 is an abundant number, since it is smaller than the sum of its proper divisors (8092369080).

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

3422445000 is a wasteful number, since it uses less digits than its factorization.

3422445000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17593 (or 17574 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 3422445000 is about 58501.6666429257. Note that the first 4 decimals coincide. The cubic root of 3422445000 is about 1506.9962068828.

Adding to 3422445000 its reverse (5442243), we get a palindrome (3427887243).

The spelling of 3422445000 in words is "three billion, four hundred twenty-two million, four hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 625 650 750 780 975 1000 1250 1300 1500 1560 1625 1875 1950 2500 2600 3000 3250 3750 3900 4875 5000 6500 7500 7800 8125 9750 13000 15000 16250 17551 19500 24375 32500 35102 39000 48750 52653 65000 70204 87755 97500 105306 140408 175510 195000 210612 228163 263265 351020 421224 438775 456326 526530 684489 702040 877550 912652 1053060 1140815 1316325 1368978 1755100 1825304 2106120 2193875 2281630 2632650 2737956 3422445 3510200 4387750 4563260 5265300 5475912 5704075 6581625 6844890 8775500 9126520 10530600 10969375 11408150 13163250 13689780 17112225 17551000 21938750 22816300 26326500 27379560 28520375 32908125 34224450 43877500 45632600 52653000 57040750 65816250 68448900 85561125 87755000 114081500 131632500 136897800 142601875 171122250 228163000 263265000 285203750 342244500 427805625 570407500 684489000 855611250 1140815000 1711222500 3422445000