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1684042332 = 223725179873
BaseRepresentation
bin110010001100000…
…0111001001011100
311100100211012210020
41210120013021130
511422103323312
6435034512140
756506060260
oct14430071134
94310735706
101684042332
11794663a25
123abb95650
1320ab8006b
1411d9300a0
159cca078c
hex6460725c

1684042332 has 48 divisors (see below), whose sum is σ = 4508727552. Its totient is φ = 479232000.

The previous prime is 1684042331. The next prime is 1684042363. The reversal of 1684042332 is 2332404861.

It is a junction number, because it is equal to n+sod(n) for n = 1684042293 and 1684042302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1684042331) 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 15 ways as a sum of consecutive naturals, for example, 18853 + ... + 61020.

It is an arithmetic number, because the mean of its divisors is an integer number (93931824).

Almost surely, 21684042332 is an apocalyptic number.

1684042332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1684042332 is an abundant number, since it is smaller than the sum of its proper divisors (2824685220).

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

1684042332 is a wasteful number, since it uses less digits than its factorization.

1684042332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80138 (or 80136 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 1684042332 is about 41037.0848379853. The cubic root of 1684042332 is about 1189.7370913675.

The spelling of 1684042332 in words is "one billion, six hundred eighty-four million, forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 251 502 753 1004 1506 1757 3012 3514 5271 7028 10542 21084 79873 159746 239619 319492 479238 559111 958476 1118222 1677333 2236444 3354666 6709332 20048123 40096246 60144369 80192492 120288738 140336861 240577476 280673722 421010583 561347444 842021166 1684042332