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368934912 = 21534139
BaseRepresentation
bin10101111111011…
…000000000000000
3221201012211120000
4111333120000000
51223421404122
6100335320000
712066615663
oct2577300000
9851184500
10368934912
1117a288295
12a3680000
135b5858a8
1436dd96da
15225c90ac
hex15fd8000

368934912 has 160 divisors (see below), whose sum is σ = 1110162900. Its totient is φ = 122093568.

The previous prime is 368934889. The next prime is 368934949. The reversal of 368934912 is 219439863.

It is a happy number.

368934912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3689349122 = 272225938584895488, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (279936) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2654139 + ... + 2654277.

Almost surely, 2368934912 is an apocalyptic number.

368934912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368934912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555081450).

368934912 is an abundant number, since it is smaller than the sum of its proper divisors (741227988).

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

368934912 is an frugal number, since it uses more digits than its factorization.

368934912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 144 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 368934912 is about 19207.6784646141. The cubic root of 368934912 is about 717.2159150859.

The spelling of 368934912 in words is "three hundred sixty-eight million, nine hundred thirty-four thousand, nine hundred twelve".