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350534640 = 243510114461
BaseRepresentation
bin10100111001001…
…011101111110000
3220102121000010110
4110321023233300
51204214102030
654441101320
711454331611
oct2471135760
9812530113
10350534640
1116a95a955
1299487840
1357812661
14347a9c08
1520b921b0
hex14e4bbf0

350534640 has 80 divisors (see below), whose sum is σ = 1097492256. Its totient is φ = 92544000.

The previous prime is 350534617. The next prime is 350534641. The reversal of 350534640 is 46435053.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 350534598 and 350534607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350534641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17010 + ... + 31470.

Almost surely, 2350534640 is an apocalyptic number.

350534640 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 350534640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548746128).

350534640 is an abundant number, since it is smaller than the sum of its proper divisors (746957616).

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

350534640 is a wasteful number, since it uses less digits than its factorization.

350534640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14578 (or 14572 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 350534640 is about 18722.5703363614. The cubic root of 350534640 is about 705.0885256774.

Adding to 350534640 its reverse (46435053), we get a palindrome (396969693).

It can be divided in two parts, 35053 and 4640, that added together give a palindrome (39693).

The spelling of 350534640 in words is "three hundred fifty million, five hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 505 606 808 1010 1212 1515 1616 2020 2424 3030 4040 4848 6060 8080 12120 14461 24240 28922 43383 57844 72305 86766 115688 144610 173532 216915 231376 289220 347064 433830 578440 694128 867660 1156880 1460561 1735320 2921122 3470640 4381683 5842244 7302805 8763366 11684488 14605610 17526732 21908415 23368976 29211220 35053464 43816830 58422440 70106928 87633660 116844880 175267320 350534640