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1434860680 = 2351115720771
BaseRepresentation
bin101010110000110…
…0011110010001000
310200222221110211011
41111201203302020
510414311020210
6354214013304
750362054201
oct12541436210
93628843734
101434860680
11676a3a080
12340647234
1319b365cb6
14d87c85a8
1585e7dd8a
hex55863c88

1434860680 has 64 divisors (see below), whose sum is σ = 3544534080. Its totient is φ = 518419200.

The previous prime is 1434860659. The next prime is 1434860683. The reversal of 1434860680 is 860684341.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1434860683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58695 + ... + 79465.

It is an arithmetic number, because the mean of its divisors is an integer number (55383345).

Almost surely, 21434860680 is an apocalyptic number.

1434860680 is a gapful number since it is divisible by the number (10) 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 1434860680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772267040).

1434860680 is an abundant number, since it is smaller than the sum of its proper divisors (2109673400).

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

1434860680 is a wasteful number, since it uses less digits than its factorization.

1434860680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20950 (or 20946 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 1434860680 is about 37879.5549076279. The cubic root of 1434860680 is about 1127.8982207012.

The spelling of 1434860680 in words is "one billion, four hundred thirty-four million, eight hundred sixty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 157 220 314 440 628 785 1256 1570 1727 3140 3454 6280 6908 8635 13816 17270 20771 34540 41542 69080 83084 103855 166168 207710 228481 415420 456962 830840 913924 1142405 1827848 2284810 3261047 4569620 6522094 9139240 13044188 16305235 26088376 32610470 35871517 65220940 71743034 130441880 143486068 179357585 286972136 358715170 717430340 1434860680