Search a number
-
+
1640003310 = 23251116310163
BaseRepresentation
bin110000111000000…
…0111011011101110
311020021221210121100
41201300013123232
511324320101220
6430422543530
755432540521
oct14160073356
94207853540
101640003310
11771814840
12399297ba6
13201a00c7a
14117b48bb8
1598ea1d90
hex61c076ee

1640003310 has 96 divisors (see below), whose sum is σ = 4680643968. Its totient is φ = 395098560.

The previous prime is 1640003303. The next prime is 1640003341. The reversal of 1640003310 is 133000461.

1640003310 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16400033102 = 5379221713621912200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156289 + ... + 166451.

It is an arithmetic number, because the mean of its divisors is an integer number (48756708).

Almost surely, 21640003310 is an apocalyptic number.

1640003310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1640003310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340321984).

1640003310 is an abundant number, since it is smaller than the sum of its proper divisors (3040640658).

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

1640003310 is a wasteful number, since it uses less digits than its factorization.

1640003310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10350 (or 10347 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1640003310 is about 40496.9543299246. The cubic root of 1640003310 is about 1179.2745013667.

Adding to 1640003310 its reverse (133000461), we get a palindrome (1773003771).

The spelling of 1640003310 in words is "one billion, six hundred forty million, three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 163 165 198 326 330 489 495 815 978 990 1467 1630 1793 2445 2934 3586 4890 5379 7335 8965 10163 10758 14670 16137 17930 20326 26895 30489 32274 50815 53790 60978 80685 91467 101630 111793 152445 161370 182934 223586 304890 335379 457335 558965 670758 914670 1006137 1117930 1656569 1676895 2012274 3313138 3353790 4969707 5030685 8282845 9939414 10061370 14909121 16565690 18222259 24848535 29818242 36444518 49697070 54666777 74545605 91111295 109333554 149091210 164000331 182222590 273333885 328000662 546667770 820001655 1640003310