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1434404104 = 237172263337
BaseRepresentation
bin101010101111111…
…0100010100001000
310200222002021111221
41111133310110020
510414201412404
6354200131424
750355143110
oct12537642410
93628067457
101434404104
11676758041
12340466b74
1319b236233
14d870a040
1585ddd954
hex557f4508

1434404104 has 96 divisors (see below), whose sum is σ = 3287306880. Its totient is φ = 574672896.

The previous prime is 1434404089. The next prime is 1434404143. The reversal of 1434404104 is 4014044341.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4256224 + ... + 4256560.

It is an arithmetic number, because the mean of its divisors is an integer number (34242780).

Almost surely, 21434404104 is an apocalyptic number.

1434404104 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 1434404104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643653440).

1434404104 is an abundant number, since it is smaller than the sum of its proper divisors (1852902776).

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

1434404104 is a wasteful number, since it uses less digits than its factorization.

1434404104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 1434404104 is about 37873.5277469633. The cubic root of 1434404104 is about 1127.7785747322.

Adding to 1434404104 its reverse (4014044341), we get a palindrome (5448448445).

The spelling of 1434404104 in words is "one billion, four hundred thirty-four million, four hundred four thousand, one hundred four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 263 289 337 476 526 578 674 952 1052 1156 1348 1841 2023 2104 2312 2359 2696 3682 4046 4471 4718 5729 7364 8092 8942 9436 11458 14728 16184 17884 18872 22916 31297 35768 40103 45832 62594 76007 80206 88631 97393 125188 152014 160412 177262 194786 250376 304028 320824 354524 389572 532049 608056 620417 681751 709048 779144 1064098 1240834 1363502 1506727 2128196 2481668 2727004 3013454 4256392 4963336 5454008 6026908 10547089 12053816 21094178 25614359 42188356 51228718 84376712 102457436 179300513 204914872 358601026 717202052 1434404104