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1434364560 = 2432515712689
BaseRepresentation
bin101010101111110…
…1010101010010000
310200222000021021100
41111133222222100
510414144131220
6354155224400
750354616606
oct12537525220
93628007240
101434364560
11676730362
12340448100
1319b221235
14d86d9876
1585dd1d90
hex557eaa90

1434364560 has 120 divisors (see below), whose sum is σ = 4848138360. Its totient is φ = 380030976.

The previous prime is 1434364559. The next prime is 1434364567. The reversal of 1434364560 is 654634341.

1434364560 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 3 + 645 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 76176 + 1434288384 = 276^2 + 37872^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1434364567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106696 + ... + 119384.

It is an arithmetic number, because the mean of its divisors is an integer number (40401153).

Almost surely, 21434364560 is an apocalyptic number.

1434364560 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 1434364560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424069180).

1434364560 is an abundant number, since it is smaller than the sum of its proper divisors (3413773800).

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

1434364560 is a wasteful number, since it uses less digits than its factorization.

1434364560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12865 (or 12856 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 1434364560 is about 37873.0056900690. The cubic root of 1434364560 is about 1127.7682110126.

The spelling of 1434364560 in words is "one billion, four hundred thirty-four million, three hundred sixty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 157 180 240 314 360 471 628 720 785 942 1256 1413 1570 1884 2355 2512 2826 3140 3768 4710 5652 6280 7065 7536 9420 11304 12560 12689 14130 18840 22608 25378 28260 37680 38067 50756 56520 63445 76134 101512 113040 114201 126890 152268 190335 203024 228402 253780 304536 380670 456804 507560 571005 609072 761340 913608 1015120 1142010 1522680 1827216 1992173 2284020 3045360 3984346 4568040 5976519 7968692 9136080 9960865 11953038 15937384 17929557 19921730 23906076 29882595 31874768 35859114 39843460 47812152 59765190 71718228 79686920 89647785 95624304 119530380 143436456 159373840 179295570 239060760 286872912 358591140 478121520 717182280 1434364560