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1634342320 = 2451331163311
BaseRepresentation
bin110000101101010…
…0001010110110000
311012220022012012001
41201122201112300
511321342423240
6430101343344
755333452262
oct14132412660
94186265161
101634342320
117695a8636
12397407b54
1320079b380
141170b3b32
159873489a
hex616a15b0

1634342320 has 160 divisors (see below), whose sum is σ = 4263727104. Its totient is φ = 578534400.

The previous prime is 1634342273. The next prime is 1634342341. The reversal of 1634342320 is 232434361.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5254965 + ... + 5255275.

Almost surely, 21634342320 is an apocalyptic number.

1634342320 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 1634342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131863552).

1634342320 is an abundant number, since it is smaller than the sum of its proper divisors (2629384784).

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

1634342320 is a wasteful number, since it uses less digits than its factorization.

1634342320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 1634342320 is about 40426.9998886883. Note that the first 3 decimals coincide. The cubic root of 1634342320 is about 1177.9160575219.

Adding to 1634342320 its reverse (232434361), we get a palindrome (1866776681).

The spelling of 1634342320 in words is "one billion, six hundred thirty-four million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 163 208 248 260 310 311 326 403 496 520 620 622 652 806 815 1040 1240 1244 1304 1555 1612 1630 2015 2119 2480 2488 2608 3110 3224 3260 4030 4043 4238 4976 5053 6220 6448 6520 8060 8086 8476 9641 10106 10595 12440 13040 16120 16172 16952 19282 20212 20215 21190 24880 25265 32240 32344 33904 38564 40424 40430 42380 48205 50530 50693 64688 65689 77128 80848 80860 84760 96410 101060 101386 125333 131378 154256 161720 169520 192820 202120 202772 250666 253465 262756 323440 328445 385640 404240 405544 501332 506930 525512 626665 656890 659009 771280 811088 1002664 1013860 1051024 1253330 1313780 1318018 1571483 2005328 2027720 2506660 2627560 2636036 3142966 3295045 4055440 5013320 5255120 5272072 6285932 6590090 7857415 10026640 10544144 12571864 13180180 15714830 20429279 25143728 26360360 31429660 40858558 52720720 62859320 81717116 102146395 125718640 163434232 204292790 326868464 408585580 817171160 1634342320