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384203640 = 23353201697
BaseRepresentation
bin10110111001100…
…111101101111000
3222202221120022110
4112321213231320
51241324004030
6102042452320
712343451142
oct2671475570
9882846273
10384203640
11187966977
12a88040a0
13617a0642
1439051c92
1523ae31b0
hex16e67b78

384203640 has 32 divisors (see below), whose sum is σ = 1152611280. Its totient is φ = 102454272.

The previous prime is 384203639. The next prime is 384203647. The reversal of 384203640 is 46302483.

It is a super-2 number, since 2×3842036402 = 295224873978499200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 384203598 and 384203607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384203647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1600729 + ... + 1600968.

Almost surely, 2384203640 is an apocalyptic number.

384203640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384203640 is an abundant number, since it is smaller than the sum of its proper divisors (768407640).

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

384203640 is a wasteful number, since it uses less digits than its factorization.

384203640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3201711 (or 3201707 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 384203640 is about 19601.1132336916. The cubic root of 384203640 is about 726.9766999956.

The spelling of 384203640 in words is "three hundred eighty-four million, two hundred three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3201697 6403394 9605091 12806788 16008485 19210182 25613576 32016970 38420364 48025455 64033940 76840728 96050910 128067880 192101820 384203640