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1434839040 = 21132515569
BaseRepresentation
bin101010110000101…
…1110100000000000
310200222220101010200
41111201132200000
510414304322130
6354213325200
750361634125
oct12541364000
93628811120
101434839040
11676a24898
12340636800
1319b3591ab
14d87c074c
1585e77760
hex5585e800

1434839040 has 144 divisors (see below), whose sum is σ = 4973213700. Its totient is φ = 382599168.

The previous prime is 1434839033. The next prime is 1434839051. The reversal of 1434839040 is 409384341.

It can be written as a sum of positive squares in 2 ways, for example, as 1408951296 + 25887744 = 37536^2 + 5088^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1434838986 and 1434839004.

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 11 ways as a sum of consecutive naturals, for example, 84376 + ... + 99944.

Almost surely, 21434839040 is an apocalyptic number.

1434839040 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 1434839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486606850).

1434839040 is an abundant number, since it is smaller than the sum of its proper divisors (3538374660).

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

1434839040 is a wasteful number, since it uses less digits than its factorization.

1434839040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15602 (or 15579 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1434839040 is about 37879.2692643351. The cubic root of 1434839040 is about 1127.8925505014.

The spelling of 1434839040 in words is "one billion, four hundred thirty-four million, eight hundred thirty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4608 5120 5760 6144 7680 9216 10240 11520 15360 15569 18432 23040 30720 31138 46080 46707 62276 77845 92160 93414 124552 140121 155690 186828 233535 249104 280242 311380 373656 467070 498208 560484 622760 700605 747312 934140 996416 1120968 1245520 1401210 1494624 1868280 1992832 2241936 2491040 2802420 2989248 3736560 3985664 4483872 4982080 5604840 5978496 7473120 7971328 8967744 9964160 11209680 11956992 14946240 15942656 17935488 19928320 22419360 23913984 29892480 31885312 35870976 39856640 44838720 47827968 59784960 71741952 79713280 89677440 95655936 119569920 143483904 159426560 179354880 239139840 286967808 358709760 478279680 717419520 1434839040