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3487880352 = 253113302917
BaseRepresentation
bin1100111111100100…
…1101010010100000
3100000002001200100210
43033321031102200
524120344132402
61334033214120
7152301331245
oct31771152240
910002050323
103487880352
11152a8aa150
12814101340
134377b5038
142513255cc
1515631606c
hexcfe4d4a0

3487880352 has 48 divisors (see below), whose sum is σ = 9988024032. Its totient is φ = 1056933120.

The previous prime is 3487880329. The next prime is 3487880377. The reversal of 3487880352 is 2530887843.

3487880352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1650403 + ... + 1652514.

It is an arithmetic number, because the mean of its divisors is an integer number (208083834).

Almost surely, 23487880352 is an apocalyptic number.

3487880352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3487880352 is an abundant number, since it is smaller than the sum of its proper divisors (6500143680).

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

3487880352 is a wasteful number, since it uses less digits than its factorization.

3487880352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3302941 (or 3302933 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 3487880352 is about 59058.2792841105. The cubic root of 3487880352 is about 1516.5399644803.

The spelling of 3487880352 in words is "three billion, four hundred eighty-seven million, eight hundred eighty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 3302917 6605834 9908751 13211668 19817502 26423336 36332087 39635004 52846672 72664174 79270008 105693344 108996261 145328348 158540016 217992522 290656696 317080032 435985044 581313392 871970088 1162626784 1743940176 3487880352