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3432004004 = 22111342731
BaseRepresentation
bin1100110010010000…
…0011100110100100
322212011220212102102
43030210003212210
524012043112004
61324315431232
7151022360402
oct31444034644
98764825372
103432004004
111501305450
127b9455518
13429050000
14247b3c472
1515147a11e
hexcc9039a4

3432004004 has 60 divisors (see below), whose sum is σ = 7100588208. Its totient is φ = 1439474400.

The previous prime is 3432004003. The next prime is 3432004033. The reversal of 3432004004 is 4004002343.

It is a happy number.

3432004004 is a modest number, since divided by 4004 gives 3432 as remainder.

It is not an unprimeable number, because it can be changed into a prime (3432004003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1255319 + ... + 1258049.

Almost surely, 23432004004 is an apocalyptic number.

It is an amenable number.

3432004004 is an abundant number, since it is smaller than the sum of its proper divisors (3668584204).

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

3432004004 is a wasteful number, since it uses less digits than its factorization.

3432004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3432004004 is about 58583.3082370738. The cubic root of 3432004004 is about 1508.3979330336.

Adding to 3432004004 its reverse (4004002343), we get a palindrome (7436006347).

The spelling of 3432004004 in words is "three billion, four hundred thirty-two million, four thousand, four".

Divisors: 1 2 4 11 13 22 26 44 52 143 169 286 338 572 676 1859 2197 2731 3718 4394 5462 7436 8788 10924 24167 28561 30041 35503 48334 57122 60082 71006 96668 114244 120164 142012 314171 390533 461539 628342 781066 923078 1256684 1562132 1846156 5076929 6000007 10153858 12000014 20307716 24000028 66000077 78000091 132000154 156000182 264000308 312000364 858001001 1716002002 3432004004