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3744640832 = 26353316561
BaseRepresentation
bin1101111100110010…
…1010111101000000
3100122222012110112012
43133030222331000
530132112001312
61415324352052
7161536631132
oct33714527500
910588173465
103744640832
111651830099
128860a5628
13478a5390a
14277481052
1516db33322
hexdf32af40

3744640832 has 28 divisors (see below), whose sum is σ = 7433323716. Its totient is φ = 1871677440.

The previous prime is 3744640829. The next prime is 3744640841. The reversal of 3744640832 is 2380464473.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1442176576 + 2302464256 = 37976^2 + 47984^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3744640832.

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 3 ways as a sum of consecutive naturals, for example, 217832 + ... + 234392.

It is an arithmetic number, because the mean of its divisors is an integer number (265475847).

Almost surely, 23744640832 is an apocalyptic number.

3744640832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3744640832 is a deficient number, since it is larger than the sum of its proper divisors (3688682884).

3744640832 is a wasteful number, since it uses less digits than its factorization.

3744640832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20106 (or 20096 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 41.

The square root of 3744640832 is about 61193.4705013533. The cubic root of 3744640832 is about 1552.8758032024.

The spelling of 3744640832 in words is "three billion, seven hundred forty-four million, six hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 3533 7066 14132 16561 28264 33122 56528 66244 113056 132488 226112 264976 529952 1059904 58510013 117020026 234040052 468080104 936160208 1872320416 3744640832