Search a number
-
+
342669371520 = 27357219533617
BaseRepresentation
bin1001111110010001010…
…11111010100010000000
31012202111012212200120110
410333020223322202000
521103241324342040
6421230425511320
733520444412400
oct4771053724200
91182435780513
10342669371520
11122363a21703
12564b3342540
132640cc32838
141282a04c800
158da86ca980
hex4fc8afa880

342669371520 has 768 divisors, whose sum is σ = 1363071369600. Its totient is φ = 72781922304.

The previous prime is 342669371479. The next prime is 342669371533. The reversal of 342669371520 is 25173966243.

It is a super-2 number, since 2×3426693715202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 342669371520.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94736752 + ... + 94740368.

Almost surely, 2342669371520 is an apocalyptic number.

342669371520 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 342669371520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681535684800).

342669371520 is an abundant number, since it is smaller than the sum of its proper divisors (1020401998080).

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

342669371520 is a wasteful number, since it uses less digits than its factorization.

342669371520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3725 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 342669371520 in words is "three hundred forty-two billion, six hundred sixty-nine million, three hundred seventy-one thousand, five hundred twenty".