Search a number
-
+
1434640005 = 34529122149
BaseRepresentation
bin101010110000010…
…1101111010000101
310200222112021010000
41111200231322011
510414231440010
6354205151513
750360144631
oct12540557205
93628467100
101434640005
116768a92a7
1234055b599
1319b2b9716
14d876bdc1
1585e387c0
hex5582de85

1434640005 has 40 divisors (see below), whose sum is σ = 2660427000. Its totient is φ = 738751104.

The previous prime is 1434639959. The next prime is 1434640007. The reversal of 1434640005 is 5000464341.

1434640005 is a `hidden beast` number, since 14 + 3 + 4 + 640 + 0 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 124344801 + 1310295204 = 11151^2 + 36198^2 .

It is not a de Polignac number, because 1434640005 - 213 = 1434631813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434640007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49330 + ... + 72819.

It is an arithmetic number, because the mean of its divisors is an integer number (66510675).

Almost surely, 21434640005 is an apocalyptic number.

1434640005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1434640005 is a deficient number, since it is larger than the sum of its proper divisors (1225786995).

1434640005 is a wasteful number, since it uses less digits than its factorization.

1434640005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122195 (or 122186 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1434640005 is about 37876.6419446075. The cubic root of 1434640005 is about 1127.8403958768.

The spelling of 1434640005 in words is "one billion, four hundred thirty-four million, six hundred forty thousand, five".

Divisors: 1 3 5 9 15 27 29 45 81 87 135 145 261 405 435 783 1305 2349 3915 11745 122149 366447 610745 1099341 1832235 3298023 3542321 5496705 9894069 10626963 16490115 17711605 31880889 49470345 53134815 95642667 159404445 286928001 478213335 1434640005