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1434611664 = 243261163321
BaseRepresentation
bin101010110000010…
…0110111111010000
310200222110211020100
41111200212333100
510414230033124
6354204412400
750356666203
oct12540467720
93628424210
101434611664
11676889a82
12340547100
1319b2a9855
14d876193a
1585e301c9
hex55826fd0

1434611664 has 60 divisors (see below), whose sum is σ = 4080763492. Its totient is φ = 470361600.

The previous prime is 1434611621. The next prime is 1434611671. The reversal of 1434611664 is 4661164341.

1434611664 is a `hidden beast` number, since 1 + 4 + 34 + 611 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 125619264 + 1308992400 = 11208^2 + 36180^2 .

It is a super-2 number, since 2×14346116642 = 4116221252969697792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72877 + ... + 90444.

Almost surely, 21434611664 is an apocalyptic number.

It is an amenable number.

1434611664 is an abundant number, since it is smaller than the sum of its proper divisors (2646151828).

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

1434611664 is a wasteful number, since it uses less digits than its factorization.

1434611664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163396 (or 163387 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 1434611664 is about 37876.2678203648. The cubic root of 1434611664 is about 1127.8329690810.

The spelling of 1434611664 in words is "one billion, four hundred thirty-four million, six hundred eleven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 4392 8784 163321 326642 489963 653284 979926 1306568 1469889 1959852 2613136 2939778 3919704 5879556 7839408 9962581 11759112 19925162 23518224 29887743 39850324 59775486 79700648 89663229 119550972 159401296 179326458 239101944 358652916 478203888 717305832 1434611664