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1434410320 = 245721919259
BaseRepresentation
bin101010101111111…
…0101110101010000
310200222002121001011
41111133311311100
510414202112240
6354200220304
750355200200
oct12537656520
93628077034
101434410320
11676761782
1234046a694
1319b239005
14d870c400
1585de06ea
hex557f5d50

1434410320 has 120 divisors (see below), whose sum is σ = 4083890400. Its totient is φ = 465889536.

The previous prime is 1434410293. The next prime is 1434410333. The reversal of 1434410320 is 230144341.

It is a super-2 number, since 2×14344103202 = 4115065932245004800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1434410291 and 1434410300.

It is a congruent 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, 64851 + ... + 84109.

It is an arithmetic number, because the mean of its divisors is an integer number (34032420).

Almost surely, 21434410320 is an apocalyptic number.

1434410320 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 1434410320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041945200).

1434410320 is an abundant number, since it is smaller than the sum of its proper divisors (2649480080).

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

1434410320 is a wasteful number, since it uses less digits than its factorization.

1434410320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19305 (or 19292 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1434410320 is about 37873.6098094702. The cubic root of 1434410320 is about 1127.7802038086.

Adding to 1434410320 its reverse (230144341), we get a palindrome (1664554661).

The spelling of 1434410320 in words is "one billion, four hundred thirty-four million, four hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 49 56 70 76 80 95 98 112 133 140 152 190 196 245 266 280 304 380 392 490 532 560 665 760 784 931 980 1064 1330 1520 1862 1960 2128 2660 3724 3920 4655 5320 7448 9310 10640 14896 18620 19259 37240 38518 74480 77036 96295 134813 154072 192590 269626 308144 365921 385180 539252 674065 731842 770360 943691 1078504 1348130 1463684 1540720 1829605 1887382 2157008 2561447 2696260 2927368 3659210 3774764 4718455 5122894 5392520 5854736 7318420 7549528 9436910 10245788 10785040 12807235 14636840 15099056 17930129 18873820 20491576 25614470 29273680 35860258 37747640 40983152 51228940 71720516 75495280 89650645 102457880 143441032 179301290 204915760 286882064 358602580 717205160 1434410320