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3422576664 = 2332133722671
BaseRepresentation
bin1100110000000000…
…0110000000011000
322211112011220112200
43030000012000120
524002134423124
61323341410200
7150546264423
oct31400060030
98745156480
103422576664
1114a6a56561
127b6269960
134270cbcc0
142467a69ba
15150716bc9
hexcc006018

3422576664 has 144 divisors (see below), whose sum is σ = 10263445920. Its totient is φ = 1024254720.

The previous prime is 3422576653. The next prime is 3422576681. The reversal of 3422576664 is 4666752243.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1280049 + ... + 1282719.

It is an arithmetic number, because the mean of its divisors is an integer number (71273930).

Almost surely, 23422576664 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 3422576664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5131722960).

3422576664 is an abundant number, since it is smaller than the sum of its proper divisors (6840869256).

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

3422576664 is a wasteful number, since it uses less digits than its factorization.

3422576664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2726 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The square root of 3422576664 is about 58502.7919333770. The cubic root of 3422576664 is about 1507.0155317226.

It can be divided in two parts, 34225 and 76664, that added together give a square (110889 = 3332).

The spelling of 3422576664 in words is "three billion, four hundred twenty-two million, five hundred seventy-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 37 39 52 72 74 78 104 111 117 148 156 222 234 296 312 333 444 468 481 666 888 936 962 1332 1369 1443 1924 2664 2671 2738 2886 3848 4107 4329 5342 5476 5772 8013 8214 8658 10684 10952 11544 12321 16026 16428 17316 17797 21368 24039 24642 32052 32856 34632 34723 35594 48078 49284 53391 64104 69446 71188 96156 98568 98827 104169 106782 138892 142376 160173 192312 197654 208338 213564 277784 296481 312507 320346 395308 416676 427128 592962 625014 640692 790616 833352 889443 1185924 1250028 1281384 1284751 1778886 2371848 2500056 2569502 3557772 3656599 3854253 5139004 7115544 7313198 7708506 10278008 10969797 11562759 14626396 15417012 21939594 23125518 29252792 30834024 32909391 43879188 46251036 47535787 65818782 87758376 92502072 95071574 131637564 142607361 190143148 263275128 285214722 380286296 427822083 570429444 855644166 1140858888 1711288332 3422576664