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1430416 = 24132232
BaseRepresentation
bin101011101001110010000
32200200011101
411131032100
5331233131
650354144
715105211
oct5351620
92620141
101430416
11897769
1258b954
133b1100
14293408
151d3c61
hex15d390

1430416 has 45 divisors (see below), whose sum is σ = 3137169. Its totient is φ = 631488.

The previous prime is 1430413. The next prime is 1430419. The reversal of 1430416 is 6140341.

It is a happy number.

The square root of 1430416 is 1196.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1430413) and next prime (1430419).

It can be written as a sum of positive squares in only one way, i.e., 211600 + 1218816 = 460^2 + 1104^2 .

It is a super-3 number, since 3×14304163 = 8780279333046693888, which contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1430393 and 1430402.

It is not an unprimeable number, because it can be changed into a prime (1430413) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 62181 + ... + 62203.

21430416 is an apocalyptic number.

1430416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1430416 is the 1196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1430416

1430416 is an abundant number, since it is smaller than the sum of its proper divisors (1706753).

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

1430416 is a wasteful number, since it uses less digits than its factorization.

1430416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The cubic root of 1430416 is about 112.6732409050.

The spelling of 1430416 in words is "one million, four hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 169 184 208 299 338 368 529 598 676 1058 1196 1352 2116 2392 2704 3887 4232 4784 6877 7774 8464 13754 15548 27508 31096 55016 62192 89401 110032 178802 357604 715208 1430416