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3712493406 = 2329208310243
BaseRepresentation
bin1101110101001000…
…0010011101011110
3100120201201012112210
43131102002131132
530100344242111
61412215341250
7160666446636
oct33522023536
910521635483
103712493406
111635673276
12877381826
134721a937b
142730b36c6
1516add30a6
hexdd48275e

3712493406 has 32 divisors (see below), whose sum is σ = 7685458560. Its totient is φ = 1194135264.

The previous prime is 3712493359. The next prime is 3712493413. The reversal of 3712493406 is 6043942173.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357321 + ... + 367563.

It is an arithmetic number, because the mean of its divisors is an integer number (240170580).

Almost surely, 23712493406 is an apocalyptic number.

3712493406 is an abundant number, since it is smaller than the sum of its proper divisors (3972965154).

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

3712493406 is a wasteful number, since it uses less digits than its factorization.

3712493406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12360.

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 3712493406 is about 60930.2339237262. The cubic root of 3712493406 is about 1548.4192564358.

The spelling of 3712493406 in words is "three billion, seven hundred twelve million, four hundred ninety-three thousand, four hundred six".

Divisors: 1 2 3 6 29 58 87 174 2083 4166 6249 10243 12498 20486 30729 60407 61458 120814 181221 297047 362442 594094 891141 1782282 21336169 42672338 64008507 128017014 618748901 1237497802 1856246703 3712493406