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3422073160 = 2351159612161
BaseRepresentation
bin1100101111111000…
…1011000101001000
322211111020022212101
43023332023011020
524002022320120
61323322523144
7150542066452
oct31376130510
98744208771
103422073160
1114a6742240
127b60664b4
13426c83a7c
142466b52d2
1515066790a
hexcbf8b148

3422073160 has 128 divisors (see below), whose sum is σ = 8686051200. Its totient is φ = 1202688000.

The previous prime is 3422073139. The next prime is 3422073181. The reversal of 3422073160 is 613702243.

3422073160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3422073139) and next prime (3422073181).

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, 1582480 + ... + 1584640.

It is an arithmetic number, because the mean of its divisors is an integer number (67859775).

Almost surely, 23422073160 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 3422073160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4343025600).

3422073160 is an abundant number, since it is smaller than the sum of its proper divisors (5263978040).

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

3422073160 is a wasteful number, since it uses less digits than its factorization.

3422073160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 3422073160 is about 58498.4885274825. The cubic root of 3422073160 is about 1506.9416277963.

The spelling of 3422073160 in words is "three billion, four hundred twenty-two million, seventy-three thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 59 61 88 110 118 122 220 236 244 295 305 440 472 488 590 610 649 671 1180 1220 1298 1342 2161 2360 2440 2596 2684 3245 3355 3599 4322 5192 5368 6490 6710 7198 8644 10805 12980 13420 14396 17288 17995 21610 23771 25960 26840 28792 35990 39589 43220 47542 71980 79178 86440 95084 118855 127499 131821 143960 158356 190168 197945 237710 254998 263642 316712 395890 475420 509996 527284 637495 659105 791780 950840 1019992 1054568 1274990 1318210 1402489 1450031 1583560 2549980 2636420 2804978 2900062 5099960 5272840 5609956 5800124 7012445 7250155 7777439 11219912 11600248 14024890 14500310 15554878 28049780 29000620 31109756 38887195 56099560 58001240 62219512 77774390 85551829 155548780 171103658 311097560 342207316 427759145 684414632 855518290 1711036580 3422073160