Search a number
-
+
3503425640 = 2351113797753
BaseRepresentation
bin1101000011010010…
…0000100001101000
3100001011022110111012
43100310200201220
524133334110030
61335350323052
7152550424631
oct32064404150
910034273435
103503425640
1115386575a0
12819359488
1343aa98930
14253410888
15157887095
hexd0d20868

3503425640 has 128 divisors (see below), whose sum is σ = 9379238400. Its totient is φ = 1160939520.

The previous prime is 3503425613. The next prime is 3503425657. The reversal of 3503425640 is 465243053.

It is a junction number, because it is equal to n+sod(n) for n = 3503425597 and 3503425606.

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 31 ways as a sum of consecutive naturals, for example, 448004 + ... + 455756.

It is an arithmetic number, because the mean of its divisors is an integer number (73275300).

Almost surely, 23503425640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3503425640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4689619200).

3503425640 is an abundant number, since it is smaller than the sum of its proper divisors (5875812760).

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

3503425640 is a wasteful number, since it uses less digits than its factorization.

3503425640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7867 (or 7863 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The square root of 3503425640 is about 59189.7426924632. The cubic root of 3503425640 is about 1518.7896701634.

Adding to 3503425640 its reverse (465243053), we get a palindrome (3968668693).

The spelling of 3503425640 in words is "three billion, five hundred three million, four hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 79 88 104 110 130 143 158 220 260 286 316 395 440 520 572 632 715 790 869 1027 1144 1430 1580 1738 2054 2860 3160 3476 4108 4345 5135 5720 6952 7753 8216 8690 10270 11297 15506 17380 20540 22594 31012 34760 38765 41080 45188 56485 62024 77530 85283 90376 100789 112970 155060 170566 201578 225940 310120 341132 403156 426415 451880 503945 612487 682264 806312 852830 1007890 1108679 1224974 1705660 2015780 2217358 2449948 3062435 3411320 4031560 4434716 4899896 5543395 6124870 6737357 7962331 8869432 11086790 12249740 13474714 15924662 22173580 24499480 26949428 31849324 33686785 39811655 44347160 53898856 63698648 67373570 79623310 87585641 134747140 159246620 175171282 269494280 318493240 350342564 437928205 700685128 875856410 1751712820 3503425640