Search a number
-
+
3498906540 = 22354710911383
BaseRepresentation
bin1101000010001101…
…0001001110101100
3100000211210212110010
43100203101032230
524131210002130
61335105413220
7152464133463
oct32043211654
910024725403
103498906540
1115360502a8
1281793a210
13439b759cc
142529959da
151572930b0
hexd08d13ac

3498906540 has 96 divisors (see below), whose sum is σ = 10098063360. Its totient is φ = 904732416.

The previous prime is 3498906511. The next prime is 3498906547. The reversal of 3498906540 is 456098943.

It is a self number, because there is not a number n which added to its sum of digits gives 3498906540.

It is not an unprimeable number, because it can be changed into a prime (3498906547) 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, 301689 + ... + 313071.

It is an arithmetic number, because the mean of its divisors is an integer number (105188160).

Almost surely, 23498906540 is an apocalyptic number.

3498906540 is a gapful number since it is divisible by the number (30) 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 3498906540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5049031680).

3498906540 is an abundant number, since it is smaller than the sum of its proper divisors (6599156820).

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

3498906540 is a wasteful number, since it uses less digits than its factorization.

3498906540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11551 (or 11549 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 3498906540 is about 59151.5556853748. Note that the first 3 decimals coincide. The cubic root of 3498906540 is about 1518.1363557274.

The spelling of 3498906540 in words is "three billion, four hundred ninety-eight million, nine hundred six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 109 141 188 218 235 282 327 436 470 545 564 654 705 940 1090 1308 1410 1635 2180 2820 3270 5123 6540 10246 11383 15369 20492 22766 25615 30738 34149 45532 51230 56915 61476 68298 76845 102460 113830 136596 153690 170745 227660 307380 341490 535001 682980 1070002 1240747 1605003 2140004 2481494 2675005 3210006 3722241 4962988 5350010 6203735 6420012 7444482 8025015 10700020 12407470 14888964 16050030 18611205 24814940 32100060 37222410 58315109 74444820 116630218 174945327 233260436 291575545 349890654 583151090 699781308 874726635 1166302180 1749453270 3498906540