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342432213240 = 233513614438123
BaseRepresentation
bin1001111101110101000…
…11001110100011111000
31012201212200121210120110
410332322203032203320
521102300121310430
6421151114424320
733511534534005
oct4767243164370
91181780553513
10342432213240
1112225206a127
1256447a320a0
13263a2a682b0
14128067568ac
158d929817b0
hex4fba8ce8f8

342432213240 has 256 divisors, whose sum is σ = 1127132858880. Its totient is φ = 82711848960.

The previous prime is 342432213229. The next prime is 342432213247. The reversal of 342432213240 is 42312234243.

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 = 342432213198 and 342432213207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342432213247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42151819 + ... + 42159941.

It is an arithmetic number, because the mean of its divisors is an integer number (4402862730).

Almost surely, 2342432213240 is an apocalyptic number.

342432213240 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 342432213240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563566429440).

342432213240 is an abundant number, since it is smaller than the sum of its proper divisors (784700645640).

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

342432213240 is a wasteful number, since it uses less digits than its factorization.

342432213240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8654 (or 8650 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 342432213240 its reverse (42312234243), we get a palindrome (384744447483).

The spelling of 342432213240 in words is "three hundred forty-two billion, four hundred thirty-two million, two hundred thirteen thousand, two hundred forty".