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3422807940 = 2235297326947
BaseRepresentation
bin1100110000000011…
…1110011110000100
322211112121122210110
43030000332132010
524002214323230
61323350353020
7150551246616
oct31400763604
98745548713
103422807940
1114a70a42a2
127b635b770
13427180356
14246826db6
151507604b0
hexcc03e784

3422807940 has 96 divisors (see below), whose sum is σ = 10050526080. Its totient is φ = 869170176.

The previous prime is 3422807939. The next prime is 3422807959. The reversal of 3422807940 is 497082243.

It is a super-2 number, since 2×34228079402 = 23431228388254087200, which contains 22 as substring.

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, 113547 + ... + 140493.

It is an arithmetic number, because the mean of its divisors is an integer number (104692980).

Almost surely, 23422807940 is an apocalyptic number.

3422807940 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 3422807940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5025263040).

3422807940 is an abundant number, since it is smaller than the sum of its proper divisors (6627718140).

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

3422807940 is a wasteful number, since it uses less digits than its factorization.

3422807940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27061 (or 27059 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 3422807940 is about 58504.7685235999. The cubic root of 3422807940 is about 1507.0494758051.

The spelling of 3422807940 in words is "three billion, four hundred twenty-two million, eight hundred seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 73 87 116 145 146 174 219 290 292 348 365 435 438 580 730 870 876 1095 1460 1740 2117 2190 4234 4380 6351 8468 10585 12702 21170 25404 26947 31755 42340 53894 63510 80841 107788 127020 134735 161682 269470 323364 404205 538940 781463 808410 1562926 1616820 1967131 2344389 3125852 3907315 3934262 4688778 5901393 7814630 7868524 9377556 9835655 11721945 11802786 15629260 19671310 23443890 23605572 29506965 39342620 46887780 57046799 59013930 114093598 118027860 171140397 228187196 285233995 342280794 570467990 684561588 855701985 1140935980 1711403970 3422807940