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3404761632 = 2532171395003
BaseRepresentation
bin1100101011110000…
…1000101000100000
322210021122210220200
43022330020220200
523433104333012
61321503505200
7150241665516
oct31274105040
98707583820
103404761632
111497998898
127b02b8200
1342350226c
1424428a4b6
1514dd983dc
hexcaf08a20

3404761632 has 144 divisors (see below), whose sum is σ = 10327655520. Its totient is φ = 1060263936.

The previous prime is 3404761627. The next prime is 3404761637. The reversal of 3404761632 is 2361674043.

It is a happy number.

3404761632 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 7 + 616 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (3404761627) and next prime (3404761637).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3404761637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 678043 + ... + 683045.

It is an arithmetic number, because the mean of its divisors is an integer number (71719830).

Almost surely, 23404761632 is an apocalyptic number.

3404761632 is a gapful number since it is divisible by the number (32) 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 3404761632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163827760).

3404761632 is an abundant number, since it is smaller than the sum of its proper divisors (6922893888).

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

3404761632 is a wasteful number, since it uses less digits than its factorization.

3404761632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5175 (or 5164 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3404761632 is about 58350.3353203733. The cubic root of 3404761632 is about 1504.3962334999.

The spelling of 3404761632 in words is "three billion, four hundred four million, seven hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 139 144 153 204 272 278 288 306 408 417 544 556 612 816 834 1112 1224 1251 1632 1668 2224 2363 2448 2502 3336 4448 4726 4896 5003 5004 6672 7089 9452 10006 10008 13344 14178 15009 18904 20012 20016 21267 28356 30018 37808 40024 40032 42534 45027 56712 60036 75616 80048 85051 85068 90054 113424 120072 160096 170102 170136 180108 226848 240144 255153 340204 340272 360216 480288 510306 680408 680544 695417 720432 765459 1020612 1360816 1390834 1440864 1530918 2041224 2086251 2721632 2781668 3061836 4082448 4172502 5563336 6123672 6258753 8164896 8345004 11126672 11822089 12247344 12517506 16690008 22253344 23644178 24494688 25035012 33380016 35466267 47288356 50070024 66760032 70932534 94576712 100140048 106398801 141865068 189153424 200280096 212797602 283730136 378306848 425595204 567460272 851190408 1134920544 1702380816 3404761632