Search a number
-
+
350414013540 = 223517593320201
BaseRepresentation
bin1010001100101100100…
…11011000010001100100
31020111110221210021011210
411012112103120101210
521220121441413130
6424551124231420
734213404653553
oct5062623302144
91214427707153
10350414013540
111256786368a8
1257ab4b3b570
13270755a8556
1412d62843d9a
1591ad5845b0
hex51964d8464

350414013540 has 48 divisors (see below), whose sum is σ = 981717327360. Its totient is φ = 93390585600.

The previous prime is 350414013463. The next prime is 350414013553. The reversal of 350414013540 is 45310414053.

It is a super-2 number, since 2×3504140135402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 350414013498 and 350414013507.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1554561 + ... + 1765640.

It is an arithmetic number, because the mean of its divisors is an integer number (20452444320).

Almost surely, 2350414013540 is an apocalyptic number.

350414013540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

350414013540 is an abundant number, since it is smaller than the sum of its proper divisors (631303313820).

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

350414013540 is a wasteful number, since it uses less digits than its factorization.

350414013540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3321972 (or 3321970 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 350414013540 its reverse (45310414053), we get a palindrome (395724427593).

The spelling of 350414013540 in words is "three hundred fifty billion, four hundred fourteen million, thirteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1759 3518 5277 7036 8795 10554 17590 21108 26385 35180 52770 105540 3320201 6640402 9960603 13280804 16601005 19921206 33202010 39842412 49803015 66404020 99606030 199212060 5840233559 11680467118 17520700677 23360934236 29201167795 35041401354 58402335590 70082802708 87603503385 116804671180 175207006770 350414013540