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4342926240 = 2533523109401
BaseRepresentation
bin1000000101101101…
…11100101110100000
3102012122222111211000
410002312330232200
532343242114430
61554535552000
7212423156352
oct40266745640
912178874730
104342926240
111929517844
12a1252b600
1354299bc53
142d2add0d2
151a6412e60
hex102dbcba0

4342926240 has 384 divisors, whose sum is σ = 16046553600. Its totient is φ = 1094860800.

The previous prime is 4342926227. The next prime is 4342926253. The reversal of 4342926240 is 426292434.

4342926240 is a `hidden beast` number, since 4 + 3 + 4 + 29 + 2 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4342926227) and next prime (4342926253).

It is a super-2 number, since 2×43429262402 = 37722016652161075200, which 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 = 4342926195 and 4342926204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10830040 + ... + 10830440.

It is an arithmetic number, because the mean of its divisors is an integer number (41787900).

Almost surely, 24342926240 is an apocalyptic number.

4342926240 is a gapful number since it is divisible by the number (40) 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 4342926240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8023276800).

4342926240 is an abundant number, since it is smaller than the sum of its proper divisors (11703627360).

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

4342926240 is a wasteful number, since it uses less digits than its factorization.

4342926240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4342926240 is about 65900.8819364354. The cubic root of 4342926240 is about 1631.5265711532.

The spelling of 4342926240 in words is "four billion, three hundred forty-two million, nine hundred twenty-six thousand, two hundred forty".