Search a number
-
+
1431404300 = 2252411272749
BaseRepresentation
bin101010101010001…
…0111111100001100
310200202102212120002
41111110113330030
510412414414200
6354011543432
750320510244
oct12524277414
93622385502
101431404300
11674a99267
1233b45ab78
1319a7259c1
14d8168b24
15859e9bd5
hex55517f0c

1431404300 has 72 divisors (see below), whose sum is σ = 3208128000. Its totient is φ = 553996800.

The previous prime is 1431404279. The next prime is 1431404321. The reversal of 1431404300 is 34041341.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1431404279) and next prime (1431404321).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 519326 + ... + 522074.

Almost surely, 21431404300 is an apocalyptic number.

1431404300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1431404300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604064000).

1431404300 is an abundant number, since it is smaller than the sum of its proper divisors (1776723700).

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

1431404300 is a wasteful number, since it uses less digits than its factorization.

1431404300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1431404300 is about 37833.9041072951. The cubic root of 1431404300 is about 1126.9918425018.

Adding to 1431404300 its reverse (34041341), we get a palindrome (1465445641).

The spelling of 1431404300 in words is "one billion, four hundred thirty-one million, four hundred four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 127 164 205 254 410 508 635 820 1025 1270 2050 2540 2749 3175 4100 5207 5498 6350 10414 10996 12700 13745 20828 26035 27490 52070 54980 68725 104140 112709 130175 137450 225418 260350 274900 349123 450836 520700 563545 698246 1127090 1396492 1745615 2254180 2817725 3491230 5635450 6982460 8728075 11270900 14314043 17456150 28628086 34912300 57256172 71570215 143140430 286280860 357851075 715702150 1431404300