Search a number
-
+
353320312356 = 223211892223011
BaseRepresentation
bin1010010010000111000…
…10000001111000100100
31020202222111111112122200
411021003202001320210
521242044444443411
6430151344254500
734345415050134
oct5110342017044
91222874445580
10353320312356
1112692a118150
1258586311430
13274197432ab
141315a818ac4
1592cd7b9e56
hex5243881e24

353320312356 has 36 divisors (see below), whose sum is σ = 974307529104. Its totient is φ = 107066761200.

The previous prime is 353320312321. The next prime is 353320312519. The reversal of 353320312356 is 653213023353.

353320312356 is a `hidden beast` number, since 3 + 5 + 332 + 0 + 312 + 3 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 353320312356.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 446111110 + ... + 446111901.

Almost surely, 2353320312356 is an apocalyptic number.

353320312356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

353320312356 is an abundant number, since it is smaller than the sum of its proper divisors (620987216748).

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

353320312356 is a wasteful number, since it uses less digits than its factorization.

353320312356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892223032 (or 892223027 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 36.

The spelling of 353320312356 in words is "three hundred fifty-three billion, three hundred twenty million, three hundred twelve thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 892223011 1784446022 2676669033 3568892044 5353338066 8030007099 9814453121 10706676132 16060014198 19628906242 29443359363 32120028396 39257812484 58886718726 88330078089 117773437452 176660156178 353320312356