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1433441020 = 2251121734843
BaseRepresentation
bin101010101110000…
…1001001011111100
310200220021100102011
41111130021023330
510413430103040
6354123341004
750344022224
oct12534111374
93626240364
101433441020
1167615a500
12340081764
1319ac89a6b
14d8539084
1585c9d3ea
hex557092fc

1433441020 has 72 divisors (see below), whose sum is σ = 3503494512. Its totient is φ = 490575360.

The previous prime is 1433441011. The next prime is 1433441041. The reversal of 1433441020 is 201443341.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1433440982 and 1433441000.

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, 23719 + ... + 58561.

It is an arithmetic number, because the mean of its divisors is an integer number (48659646).

Almost surely, 21433441020 is an apocalyptic number.

1433441020 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 1433441020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751747256).

1433441020 is an abundant number, since it is smaller than the sum of its proper divisors (2070053492).

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

1433441020 is a wasteful number, since it uses less digits than its factorization.

1433441020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34891 (or 34878 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1433441020 is about 37860.8111376394. The cubic root of 1433441020 is about 1127.5261148026.

Adding to 1433441020 its reverse (201443341), we get a palindrome (1634884361).

The spelling of 1433441020 in words is "one billion, four hundred thirty-three million, four hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 121 170 187 220 242 340 374 484 605 748 935 1210 1870 2057 2420 3740 4114 8228 10285 20570 34843 41140 69686 139372 174215 348430 383273 592331 696860 766546 1184662 1533092 1916365 2369324 2961655 3832730 4216003 5923310 6515641 7665460 8432006 11846620 13031282 16864012 21080015 26062564 32578205 42160030 65156410 71672051 84320060 130312820 143344102 286688204 358360255 716720510 1433441020