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343464250140 = 223251117311013259
BaseRepresentation
bin1001111111110000001…
…00001000101100011100
31012211112121120201001100
410333320010020230130
521111403322001030
6421441342513100
733546235645644
oct4777004105434
91184477521040
10343464250140
11122731684790
1256695595790
132650881160b
14128a3843524
158e03390360
hex4ff8108b1c

343464250140 has 576 divisors, whose sum is σ = 1254914519040. Its totient is φ = 75064320000.

The previous prime is 343464250121. The next prime is 343464250159. The reversal of 343464250140 is 41052464343.

343464250140 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 642 + 5 + 0 + 1 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (343464250121) and next prime (343464250159).

It is a super-2 number, since 2×3434642501402 (a number of 24 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 = 343464250095 and 343464250104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 105387831 + ... + 105391089.

It is an arithmetic number, because the mean of its divisors is an integer number (2178671040).

Almost surely, 2343464250140 is an apocalyptic number.

343464250140 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 343464250140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627457259520).

343464250140 is an abundant number, since it is smaller than the sum of its proper divisors (911450268900).

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

343464250140 is a wasteful number, since it uses less digits than its factorization.

343464250140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3434 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 343464250140 in words is "three hundred forty-three billion, four hundred sixty-four million, two hundred fifty thousand, one hundred forty".