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3728434736 = 241321378859
BaseRepresentation
bin1101111000111011…
…0110011000110000
3100121211201002221102
43132032312120300
530113434402421
61413545143532
7161252113055
oct33616663060
910554632842
103728434736
111643671224
1288078aba8
1347559b300
1427526302c
1516c4d160b
hexde3b6630

3728434736 has 30 divisors (see below), whose sum is σ = 7822272780. Its totient is φ = 1720814784.

The previous prime is 3728434729. The next prime is 3728434739. The reversal of 3728434736 is 6374348273.

It is a super-2 number, since 2×37284347362 = 27802451161222779392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3728434739) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 686726 + ... + 692133.

It is an arithmetic number, because the mean of its divisors is an integer number (260742426).

Almost surely, 23728434736 is an apocalyptic number.

It is an amenable number.

3728434736 is an abundant number, since it is smaller than the sum of its proper divisors (4093838044).

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

3728434736 is a wasteful number, since it uses less digits than its factorization.

3728434736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378893 (or 1378874 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 47.

The square root of 3728434736 is about 61060.9100489012. The cubic root of 3728434736 is about 1550.6323796314.

The spelling of 3728434736 in words is "three billion, seven hundred twenty-eight million, four hundred thirty-four thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 1378859 2757718 5515436 11030872 17925167 22061744 35850334 71700668 143401336 233027171 286802672 466054342 932108684 1864217368 3728434736