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1640324112 = 243719892887
BaseRepresentation
bin110000111000101…
…0101110000010000
311020022120002122220
41201301111300100
511324410332422
6430433501040
755435345020
oct14161256020
94208502586
101640324112
11771a13869
12399411780
13201ab3cab
14117bcda80
1599016e5c
hex61c55c10

1640324112 has 160 divisors (see below), whose sum is σ = 5156812800. Its totient is φ = 438856704.

The previous prime is 1640324107. The next prime is 1640324113. The reversal of 1640324112 is 2114230461.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1640324113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 566733 + ... + 569619.

It is an arithmetic number, because the mean of its divisors is an integer number (32230080).

Almost surely, 21640324112 is an apocalyptic number.

1640324112 is a gapful number since it is divisible by the number (12) 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 1640324112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578406400).

1640324112 is an abundant number, since it is smaller than the sum of its proper divisors (3516488688).

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

1640324112 is a wasteful number, since it uses less digits than its factorization.

1640324112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3013 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1640324112 is about 40500.9149526279. The cubic root of 1640324112 is about 1179.3513892103.

Adding to 1640324112 its reverse (2114230461), we get a palindrome (3754554573).

The spelling of 1640324112 in words is "one billion, six hundred forty million, three hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 89 112 114 133 152 168 178 228 266 267 304 336 356 399 456 532 534 623 712 798 912 1064 1068 1246 1424 1596 1691 1869 2128 2136 2492 2887 3192 3382 3738 4272 4984 5073 5774 6384 6764 7476 8661 9968 10146 11548 11837 13528 14952 17322 20209 20292 23096 23674 27056 29904 34644 35511 40418 40584 46192 47348 54853 60627 69288 71022 80836 81168 94696 109706 121254 138576 142044 161672 164559 189392 219412 242508 256943 284088 323344 329118 383971 438824 485016 513886 568176 658236 767942 770829 877648 970032 1027772 1151913 1316472 1535884 1541658 1798601 2055544 2303826 2632944 3071768 3083316 3597202 4111088 4607652 4881917 5395803 6143536 6166632 7194404 9215304 9763834 10791606 12333264 14388808 14645751 18430608 19527668 21583212 28777616 29291502 34173419 39055336 43166424 58583004 68346838 78110672 86332848 102520257 117166008 136693676 205040514 234332016 273387352 410081028 546774704 820162056 1640324112