Search a number
-
+
3422667040 = 2551312591307
BaseRepresentation
bin1100110000000001…
…1100000100100000
322211112100111111221
43030000130010200
524002200321130
61323343344424
7150550122052
oct31400340440
98745314457
103422667040
1114a7008451
127b62b2114
13427131190
142467cb8d2
1515073387a
hexcc01c120

3422667040 has 96 divisors (see below), whose sum is σ = 8721639360. Its totient is φ = 1261784064.

The previous prime is 3422666987. The next prime is 3422667089. The reversal of 3422667040 is 407662243.

It is a junction number, because it is equal to n+sod(n) for n = 3422666987 and 3422667005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2618067 + ... + 2619373.

It is an arithmetic number, because the mean of its divisors is an integer number (90850410).

Almost surely, 23422667040 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 3422667040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4360819680).

3422667040 is an abundant number, since it is smaller than the sum of its proper divisors (5298972320).

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

3422667040 is a wasteful number, since it uses less digits than its factorization.

3422667040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 3422667040 is about 58503.5643358591. The cubic root of 3422667040 is about 1507.0287962745.

The spelling of 3422667040 in words is "three billion, four hundred twenty-two million, six hundred sixty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 1259 1307 2080 2518 2614 5036 5228 6295 6535 10072 10456 12590 13070 16367 16991 20144 20912 25180 26140 32734 33982 40288 41824 50360 52280 65468 67964 81835 84955 100720 104560 130936 135928 163670 169910 201440 209120 261872 271856 327340 339820 523744 543712 654680 679640 1309360 1359280 1645513 2618720 2718560 3291026 6582052 8227565 13164104 16455130 21391669 26328208 32910260 42783338 52656416 65820520 85566676 106958345 131641040 171133352 213916690 263282080 342266704 427833380 684533408 855666760 1711333520 3422667040