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1434663648 = 2532111912371
BaseRepresentation
bin101010110000011…
…0011101011100000
310200222120110112200
41111200303223200
510414233214043
6354205453200
750360303565
oct12540635340
93628513480
101434663648
11676915040
12340571200
1319b2c7402
14d877686c
1585e407d3
hex55833ae0

1434663648 has 144 divisors (see below), whose sum is σ = 4475907072. Its totient is φ = 432288000.

The previous prime is 1434663631. The next prime is 1434663649. The reversal of 1434663648 is 8463664341.

It is a happy number.

1434663648 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 6 + 636 + 4 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434663649) 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, 603903 + ... + 606273.

It is an arithmetic number, because the mean of its divisors is an integer number (31082688).

Almost surely, 21434663648 is an apocalyptic number.

1434663648 is a gapful number since it is divisible by the number (18) 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 1434663648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2237953536).

1434663648 is an abundant number, since it is smaller than the sum of its proper divisors (3041243424).

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

1434663648 is a wasteful number, since it uses less digits than its factorization.

1434663648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2578 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 1434663648 is about 37876.9540486032. The cubic root of 1434663648 is about 1127.8465914808.

The spelling of 1434663648 in words is "one billion, four hundred thirty-four million, six hundred sixty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 191 198 264 288 352 382 396 528 573 764 792 1056 1146 1528 1584 1719 2101 2292 2371 3056 3168 3438 4202 4584 4742 6112 6303 6876 7113 8404 9168 9484 12606 13752 14226 16808 18336 18909 18968 21339 25212 26081 27504 28452 33616 37818 37936 42678 50424 52162 55008 56904 67232 75636 75872 78243 85356 100848 104324 113808 151272 156486 170712 201696 208648 227616 234729 302544 312972 341424 417296 452861 469458 605088 625944 682848 834592 905722 938916 1251888 1358583 1811444 1877832 2503776 2717166 3622888 3755664 4075749 4981471 5434332 7245776 7511328 8151498 9962942 10868664 14491552 14944413 16302996 19925884 21737328 29888826 32605992 39851768 43474656 44833239 59777652 65211984 79703536 89666478 119555304 130423968 159407072 179332956 239110608 358665912 478221216 717331824 1434663648