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3004193952 = 253210431229
BaseRepresentation
bin1011001100010000…
…0101110010100000
321202100220212100200
42303010011302200
522123033201302
61214034145200
7134306140644
oct26304056240
97670825320
103004193952
111301875421
126ba122200
1338b522476
14206db8c24
15128b2181c
hexb3105ca0

3004193952 has 36 divisors (see below), whose sum is σ = 8543177370. Its totient is φ = 1001397888.

The previous prime is 3004193869. The next prime is 3004193957. The reversal of 3004193952 is 2593914003.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2809424016 + 194769936 = 53004^2 + 13956^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (3004193957) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5215327 + ... + 5215902.

Almost surely, 23004193952 is an apocalyptic number.

3004193952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3004193952 is an abundant number, since it is smaller than the sum of its proper divisors (5538983418).

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

3004193952 is a wasteful number, since it uses less digits than its factorization.

3004193952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10431245 (or 10431234 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3004193952 is about 54810.5277478698. The cubic root of 3004193952 is about 1442.9213379722.

The spelling of 3004193952 in words is "three billion, four million, one hundred ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 10431229 20862458 31293687 41724916 62587374 83449832 93881061 125174748 166899664 187762122 250349496 333799328 375524244 500698992 751048488 1001397984 1502096976 3004193952