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240303420 = 223257190717
BaseRepresentation
bin11100101001010…
…11110100111100
3121202011200022200
432110223310330
5443004202140
635502311500
75645355030
oct1624536474
9552150280
10240303420
11113710575
1268588590
133aa28c96
1423cb41c0
151616b030
hexe52bd3c

240303420 has 72 divisors (see below), whose sum is σ = 833056224. Its totient is φ = 54926208.

The previous prime is 240303407. The next prime is 240303439. The reversal of 240303420 is 24303042.

240303420 is a `hidden beast` number, since 240 + 3 + 0 + 3 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 240303393 and 240303402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94099 + ... + 96618.

Almost surely, 2240303420 is an apocalyptic number.

240303420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240303420 is an abundant number, since it is smaller than the sum of its proper divisors (592752804).

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

240303420 is a wasteful number, since it uses less digits than its factorization.

240303420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190739 (or 190734 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 240303420 is about 15501.7231300265. The cubic root of 240303420 is about 621.7082788173.

Adding to 240303420 its reverse (24303042), we get a palindrome (264606462).

The spelling of 240303420 in words is "two hundred forty million, three hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 190717 381434 572151 762868 953585 1144302 1335019 1716453 1907170 2288604 2670038 2860755 3432906 3814340 4005057 5340076 5721510 6675095 6865812 8010114 8582265 11443020 12015171 13350190 16020228 17164530 20025285 24030342 26700380 34329060 40050570 48060684 60075855 80101140 120151710 240303420