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3480435168 = 25375179219
BaseRepresentation
bin1100111101110011…
…0011100111100000
322222120001102111020
43033130303213200
524111442411133
61333205445440
7152151132210
oct31734634740
98876042436
103480435168
111526684501
12811710880
134360a92c2
14250348240
151558450b3
hexcf7339e0

3480435168 has 48 divisors (see below), whose sum is σ = 10441307520. Its totient is φ = 994409856.

The previous prime is 3480435163. The next prime is 3480435173. The reversal of 3480435168 is 8615340843.

It is an interprime number because it is at equal distance from previous prime (3480435163) and next prime (3480435173).

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

It is a super-2 number, since 2×34804351682 = 24226857917302376448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3480435163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2588938 + ... + 2590281.

It is an arithmetic number, because the mean of its divisors is an integer number (217527240).

Almost surely, 23480435168 is an apocalyptic number.

It is an amenable number.

3480435168 is an abundant number, since it is smaller than the sum of its proper divisors (6960872352).

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

3480435168 is a wasteful number, since it uses less digits than its factorization.

3480435168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5179239 (or 5179231 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 3480435168 is about 58995.2130939452. The cubic root of 3480435168 is about 1515.4601336284.

The spelling of 3480435168 in words is "three billion, four hundred eighty million, four hundred thirty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 5179219 10358438 15537657 20716876 31075314 36254533 41433752 62150628 72509066 82867504 108763599 124301256 145018132 165735008 217527198 248602512 290036264 435054396 497205024 580072528 870108792 1160145056 1740217584 3480435168