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4341024072 = 23327211210169
BaseRepresentation
bin1000000101011111…
…01100010101001000
3102012112101212112100
410002233230111020
532342300232242
61554431113400
7212401044600
oct40257542510
912175355470
104341024072
111928438700
12a11972860
135424841c8
142d2765c00
151a618954c
hex102bec548

4341024072 has 216 divisors, whose sum is σ = 15034260150. Its totient is φ = 1127427840.

The previous prime is 4341024067. The next prime is 4341024101. The reversal of 4341024072 is 2704201434.

4341024072 is a `hidden beast` number, since 4 + 3 + 410 + 240 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2725466436 + 1615557636 = 52206^2 + 40194^2 .

It is a super-2 number, since 2×43410240722 = 37688979987366922368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 421804 + ... + 431972.

Almost surely, 24341024072 is an apocalyptic number.

4341024072 is a gapful number since it is divisible by the number (42) 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 4341024072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7517130075).

4341024072 is an abundant number, since it is smaller than the sum of its proper divisors (10693236078).

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

4341024072 is a wasteful number, since it uses less digits than its factorization.

4341024072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10217 (or 10192 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4341024072 is about 65886.4483182999. The cubic root of 4341024072 is about 1631.2883377082.

The spelling of 4341024072 in words is "four billion, three hundred forty-one million, twenty-four thousand, seventy-two".