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3405232032 = 253157225931
BaseRepresentation
bin1100101011110111…
…1011011110100000
322210022112201011220
43022331323132200
523433214411112
61321521535040
7150245665116
oct31275733640
98708481156
103405232032
11149818a254
127b04a4480
134236383c7
1424436dab6
1514de3c98c
hexcaf7b7a0

3405232032 has 48 divisors (see below), whose sum is σ = 8995708512. Its totient is φ = 1127842560.

The previous prime is 3405232021. The next prime is 3405232043. The reversal of 3405232032 is 2302325043.

It is an interprime number because it is at equal distance from previous prime (3405232021) and next prime (3405232043).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3405231993 and 3405232011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97894 + ... + 128037.

It is an arithmetic number, because the mean of its divisors is an integer number (187410594).

Almost surely, 23405232032 is an apocalyptic number.

3405232032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3405232032 is an abundant number, since it is smaller than the sum of its proper divisors (5590476480).

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

3405232032 is a wasteful number, since it uses less digits than its factorization.

3405232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226101 (or 226093 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 3405232032 is about 58354.3660063238. The cubic root of 3405232032 is about 1504.4655124957.

Adding to 3405232032 its reverse (2302325043), we get a palindrome (5707557075).

The spelling of 3405232032 in words is "three billion, four hundred five million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 314 471 628 942 1256 1884 2512 3768 5024 7536 15072 225931 451862 677793 903724 1355586 1807448 2711172 3614896 5422344 7229792 10844688 21689376 35471167 70942334 106413501 141884668 212827002 283769336 425654004 567538672 851308008 1135077344 1702616016 3405232032