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3485373408 = 253311366727
BaseRepresentation
bin1100111110111110…
…1001001111100000
322222220100022111000
43033233221033200
524114223422113
61333503352000
7152241120336
oct31757511740
98886308430
103485373408
1115294476a0
128132b2600
13437117c3a
14250c71b56
15155ebd373
hexcfbe93e0

3485373408 has 96 divisors (see below), whose sum is σ = 11089854720. Its totient is φ = 1056170880.

The previous prime is 3485373403. The next prime is 3485373413. The reversal of 3485373408 is 8043735843.

It is an interprime number because it is at equal distance from previous prime (3485373403) and next prime (3485373413).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3485373401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173860 + ... + 192867.

It is an arithmetic number, because the mean of its divisors is an integer number (115519320).

Almost surely, 23485373408 is an apocalyptic number.

It is an amenable number.

3485373408 is an abundant number, since it is smaller than the sum of its proper divisors (7604481312).

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

3485373408 is a wasteful number, since it uses less digits than its factorization.

3485373408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366757 (or 366743 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 3485373408 is about 59037.0511458694. The cubic root of 3485373408 is about 1516.1765353464.

The spelling of 3485373408 in words is "three billion, four hundred eighty-five million, three hundred seventy-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 366727 733454 1100181 1466908 2200362 2933816 3300543 4033997 4400724 5867632 6601086 8067994 8801448 9901629 11735264 12101991 13202172 16135988 17602896 19803258 24203982 26404344 32271976 35205792 36305973 39606516 48407964 52808688 64543952 72611946 79213032 96815928 105617376 108917919 129087904 145223892 158426064 193631856 217835838 290447784 316852128 387263712 435671676 580895568 871343352 1161791136 1742686704 3485373408