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1434040020 = 2232571138127
BaseRepresentation
bin101010101111001…
…1011011011010100
310200221101210002100
41111132123123110
510414103240040
6354144242100
750352065460
oct12536333324
93627353070
101434040020
11676529546
12340310330
1319b1395ba
14d86534a0
1585d6ab30
hex5579b6d4

1434040020 has 72 divisors (see below), whose sum is σ = 4971343104. Its totient is φ = 327780288.

The previous prime is 1434040007. The next prime is 1434040021. The reversal of 1434040020 is 200404341.

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 = 1434039975 and 1434040002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434040021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 567804 + ... + 570323.

It is an arithmetic number, because the mean of its divisors is an integer number (69046432).

Almost surely, 21434040020 is an apocalyptic number.

1434040020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1434040020 is an abundant number, since it is smaller than the sum of its proper divisors (3537303084).

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

1434040020 is a wasteful number, since it uses less digits than its factorization.

1434040020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138149 (or 1138144 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1434040020 is about 37868.7208656432. The cubic root of 1434040020 is about 1127.6831481415.

Adding to 1434040020 its reverse (200404341), we get a palindrome (1634444361).

The spelling of 1434040020 in words is "one billion, four hundred thirty-four million, forty thousand, 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 1138127 2276254 3414381 4552508 5690635 6828762 7966889 10243143 11381270 13657524 15933778 17071905 20486286 22762540 23900667 31867556 34143810 39834445 40972572 47801334 51215715 68287620 71702001 79668890 95602668 102431430 119503335 143404002 159337780 204862860 239006670 286808004 358510005 478013340 717020010 1434040020