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1434342312 = 23321311871291
BaseRepresentation
bin101010101111110…
…0101001110101000
310200221222010202100
41111133211032220
510414142423222
6354154533400
750354465004
oct12537451650
93627863670
101434342312
11676715677
12340437260
1319b214080
14d86d1704
1585dca4ac
hex557e53a8

1434342312 has 96 divisors (see below), whose sum is σ = 4190266080. Its totient is φ = 440622720.

The previous prime is 1434342289. The next prime is 1434342331. The reversal of 1434342312 is 2132434341.

1434342312 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 342 + 312 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1110387 + ... + 1111677.

It is an arithmetic number, because the mean of its divisors is an integer number (43648605).

Almost surely, 21434342312 is an apocalyptic number.

1434342312 is a gapful number since it is divisible by the number (12) 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 1434342312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095133040).

1434342312 is an abundant number, since it is smaller than the sum of its proper divisors (2755923768).

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

1434342312 is a wasteful number, since it uses less digits than its factorization.

1434342312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503 (or 2496 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 1434342312 is about 37872.7119704940. The cubic root of 1434342312 is about 1127.7623801572.

Adding to 1434342312 its reverse (2132434341), we get a palindrome (3566776653).

The spelling of 1434342312 in words is "one billion, four hundred thirty-four million, three hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 1187 1291 2374 2582 3561 3873 4748 5164 7122 7746 9496 10328 10683 11619 14244 15431 15492 16783 21366 23238 28488 30862 30984 33566 42732 46293 46476 50349 61724 67132 85464 92586 92952 100698 123448 134264 138879 151047 185172 201396 277758 302094 370344 402792 555516 604188 1111032 1208376 1532417 3064834 4597251 6129668 9194502 12259336 13791753 18389004 19921421 27583506 36778008 39842842 55167012 59764263 79685684 110334024 119528526 159371368 179292789 239057052 358585578 478114104 717171156 1434342312