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1234332434340 = 22325234761103993
BaseRepresentation
bin10001111101100011111…
…100100011111110100100
311101000000202020110222200
4101331203330203332210
5130210403100344330
62343013335454500
7155114623402545
oct21754374437644
94330022213880
101234332434340
11436528531175
1217b27b527430
138c521417305
1443a561004cc
1522193d53a60
hex11f63f23fa4

1234332434340 has 288 divisors, whose sum is σ = 4055506430976. Its totient is φ = 303090923520.

The previous prime is 1234332434333. The next prime is 1234332434341. The reversal of 1234332434340 is 434342334321.

1234332434340 is a `hidden beast` number, since 1 + 234 + 33 + 24 + 34 + 340 = 666.

It is a super-2 number, since 2×12343324343402 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1234332434295 and 1234332434304.

It is not an unprimeable number, because it can be changed into a prime (1234332434341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11817384 + ... + 11921376.

It is an arithmetic number, because the mean of its divisors is an integer number (14081619552).

Almost surely, 21234332434340 is an apocalyptic number.

1234332434340 is a gapful number since it is divisible by the number (10) 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 1234332434340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027753215488).

1234332434340 is an abundant number, since it is smaller than the sum of its proper divisors (2821173996636).

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

1234332434340 is a wasteful number, since it uses less digits than its factorization.

1234332434340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104139 (or 104134 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 1234332434340 its reverse (434342334321), we get a palindrome (1668674768661).

The spelling of 1234332434340 in words is "one trillion, two hundred thirty-four billion, three hundred thirty-two million, four hundred thirty-four thousand, three hundred forty".