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384938496 = 293283537
BaseRepresentation
bin10110111100011…
…011001000000000
3222211022220100100
4112330123020000
51242021012441
6102110322400
712352631445
oct2674331000
9884286310
10384938496
11188318a98
12a8ab9400
1361999c77
14391a39cc
1523bdacb6
hex16f1b200

384938496 has 60 divisors (see below), whose sum is σ = 1110971862. Its totient is φ = 128311296.

The previous prime is 384938453. The next prime is 384938509. The reversal of 384938496 is 694839483.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 197796096 + 187142400 = 14064^2 + 13680^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37161 + ... + 46376.

Almost surely, 2384938496 is an apocalyptic number.

384938496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

384938496 is an abundant number, since it is smaller than the sum of its proper divisors (726033366).

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

384938496 is an equidigital number, since it uses as much as digits as its factorization.

384938496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83561 (or 83542 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 384938496 is about 19619.8495407075. The cubic root of 384938496 is about 727.4398944214.

The spelling of 384938496 in words is "three hundred eighty-four million, nine hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 83537 167074 250611 334148 501222 668296 751833 1002444 1336592 1503666 2004888 2673184 3007332 4009776 5346368 6014664 8019552 10692736 12029328 16039104 21385472 24058656 32078208 42770944 48117312 64156416 96234624 128312832 192469248 384938496