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3457530252 = 22331117316823
BaseRepresentation
bin1100111000010101…
…1011100110001100
322220221221201212000
43032011123212030
524040111432002
61331030512300
7151452344061
oct31605334614
98827851760
103457530252
11151475a720
12805b05690
134314198b7
1424b2a4c68
1515381d61c
hexce15b98c

3457530252 has 96 divisors (see below), whose sum is σ = 9835983360. Its totient is φ = 1041618240.

The previous prime is 3457530247. The next prime is 3457530277. The reversal of 3457530252 is 2520357543.

3457530252 is a `hidden beast` number, since 3 + 4 + 575 + 30 + 2 + 52 = 666.

3457530252 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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, 197113 + ... + 213935.

It is an arithmetic number, because the mean of its divisors is an integer number (102458160).

Almost surely, 23457530252 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 3457530252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4917991680).

3457530252 is an abundant number, since it is smaller than the sum of its proper divisors (6378453108).

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

3457530252 is a wasteful number, since it uses less digits than its factorization.

3457530252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17020 (or 17012 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 36.

The square root of 3457530252 is about 58800.7674439713. The cubic root of 3457530252 is about 1512.1283747137.

Adding to 3457530252 its reverse (2520357543), we get a palindrome (5977887795).

The spelling of 3457530252 in words is "three billion, four hundred fifty-seven million, five hundred thirty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 173 198 297 346 396 519 594 692 1038 1188 1557 1903 2076 3114 3806 4671 5709 6228 7612 9342 11418 16823 17127 18684 22836 33646 34254 50469 51381 67292 68508 100938 102762 151407 185053 201876 205524 302814 370106 454221 555159 605628 740212 908442 1110318 1665477 1816884 2220636 2910379 3330954 4996431 5820758 6661908 8731137 9992862 11641516 17462274 19985724 26193411 32014169 34924548 52386822 64028338 78580233 96042507 104773644 128056676 157160466 192085014 288127521 314320932 384170028 576255042 864382563 1152510084 1728765126 3457530252