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4342035456 = 21034114759
BaseRepresentation
bin1000000101100111…
…00011010000000000
3102012121022020220000
410002303203100000
532343030113311
61554504520000
7212412456333
oct40263432000
912177266800
104342035456
111928a69560
12a12180000
13542749665
142d294a61a
151a62d9056
hex102ce3400

4342035456 has 220 divisors, whose sum is σ = 14147881440. Its totient is φ = 1315491840.

The previous prime is 4342035431. The next prime is 4342035487. The reversal of 4342035456 is 6545302434.

It is a super-2 number, since 2×43420354562 = 37706543802322255872, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4342035456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 910005 + ... + 914763.

It is an arithmetic number, because the mean of its divisors is an integer number (64308552).

Almost surely, 24342035456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4342035456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7073940720).

4342035456 is an abundant number, since it is smaller than the sum of its proper divisors (9805845984).

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

4342035456 is a wasteful number, since it uses less digits than its factorization.

4342035456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4802 (or 4775 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The square root of 4342035456 is about 65894.1230763412. The cubic root of 4342035456 is about 1631.4150152528.

The spelling of 4342035456 in words is "four billion, three hundred forty-two million, thirty-five thousand, four hundred fifty-six".