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1434076160 = 21051125463
BaseRepresentation
bin101010101111010…
…0100010000000000
310200221110121122212
41111132210100000
510414110414120
6354145121252
750352306026
oct12536442000
93627417585
101434076160
11676553710
12340329228
1319b14cb9a
14d8662716
1585d766c5
hex557a4400

1434076160 has 88 divisors (see below), whose sum is σ = 3752986176. Its totient is φ = 521461760.

The previous prime is 1434076153. The next prime is 1434076211. The reversal of 1434076160 is 616704341.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43589 + ... + 69051.

Almost surely, 21434076160 is an apocalyptic number.

1434076160 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 1434076160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876493088).

1434076160 is an abundant number, since it is smaller than the sum of its proper divisors (2318910016).

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

1434076160 is a wasteful number, since it uses less digits than its factorization.

1434076160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25499 (or 25481 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 1434076160 is about 37869.1980374552. The cubic root of 1434076160 is about 1127.6926211749.

The spelling of 1434076160 in words is "one billion, four hundred thirty-four million, seventy-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2560 2816 3520 5120 5632 7040 11264 14080 25463 28160 50926 56320 101852 127315 203704 254630 280093 407408 509260 560186 814816 1018520 1120372 1400465 1629632 2037040 2240744 2800930 3259264 4074080 4481488 5601860 6518528 8148160 8962976 11203720 13037056 16296320 17925952 22407440 26074112 32592640 35851904 44814880 65185280 71703808 89629760 130370560 143407616 179259520 286815232 358519040 717038080 1434076160