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1434340264 = 23783421733
BaseRepresentation
bin101010101111110…
…0100101110101000
310200221222000221111
41111133210232220
510414142342024
6354154520104
750354456020
oct12537445650
93627860844
101434340264
11676714085
12340436034
1319b213166
14d86d0a80
1585dc9a94
hex557e4ba8

1434340264 has 64 divisors (see below), whose sum is σ = 3122259840. Its totient is φ = 605041920.

The previous prime is 1434340249. The next prime is 1434340279. The reversal of 1434340264 is 4620434341.

It is an interprime number because it is at equal distance from previous prime (1434340249) and next prime (1434340279).

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 15 ways as a sum of consecutive naturals, for example, 1956442 + ... + 1957174.

It is an arithmetic number, because the mean of its divisors is an integer number (48785310).

Almost surely, 21434340264 is an apocalyptic number.

1434340264 is a gapful number since it is divisible by the number (14) 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 1434340264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561129920).

1434340264 is an abundant number, since it is smaller than the sum of its proper divisors (1687919576).

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

1434340264 is a wasteful number, since it uses less digits than its factorization.

1434340264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

The square root of 1434340264 is about 37872.6849325474. The cubic root of 1434340264 is about 1127.7618434052.

The spelling of 1434340264 in words is "one billion, four hundred thirty-four million, three hundred forty thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 83 166 332 421 581 664 733 842 1162 1466 1684 2324 2932 2947 3368 4648 5131 5864 5894 10262 11788 20524 23576 34943 41048 60839 69886 121678 139772 243356 244601 279544 308593 425873 486712 489202 617186 851746 978404 1234372 1703492 1956808 2160151 2468744 3406984 4320302 8640604 17281208 25613219 51226438 102452876 179292533 204905752 358585066 717170132 1434340264