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427344240 = 24351780601
BaseRepresentation
bin11001011110001…
…100000101110000
31002210010100002110
4121132030011300
51333400003430
6110223245320
713406236401
oct3136140560
91083110073
10427344240
111aa252064
12bb149840
136a6c681b
1440a819a8
15277b57b0
hex1978c170

427344240 has 40 divisors (see below), whose sum is σ = 1324767888. Its totient is φ = 113958400.

The previous prime is 427344217. The next prime is 427344251. The reversal of 427344240 is 42443724.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4273442402 = 365246198922355200, 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 = 427344198 and 427344207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 890061 + ... + 890540.

Almost surely, 2427344240 is an apocalyptic number.

427344240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427344240 is an abundant number, since it is smaller than the sum of its proper divisors (897423648).

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

427344240 is a wasteful number, since it uses less digits than its factorization.

427344240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780617 (or 1780611 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 30.

The square root of 427344240 is about 20672.3061122846. The cubic root of 427344240 is about 753.2271254105.

Adding to 427344240 its reverse (42443724), we get a palindrome (469787964).

The spelling of 427344240 in words is "four hundred twenty-seven million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1780601 3561202 5341803 7122404 8903005 10683606 14244808 17806010 21367212 26709015 28489616 35612020 42734424 53418030 71224040 85468848 106836060 142448080 213672120 427344240