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4034356740 = 2233531401601
BaseRepresentation
bin1111000001110111…
…0110011000000100
3101102011100120001000
43300131312120010
531230243403430
61504154133300
7201655316001
oct36035663004
911364316030
104034356740
11179031aa27
12947121230
134c3a9074b
142a3b388a8
151892aee60
hexf0776604

4034356740 has 192 divisors, whose sum is σ = 13010135040. Its totient is φ = 1036800000.

The previous prime is 4034356673. The next prime is 4034356741. The reversal of 4034356740 is 476534304.

It is a happy number.

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 = 4034356695 and 4034356704.

It is not an unprimeable number, because it can be changed into a prime (4034356741) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6712440 + ... + 6713040.

It is an arithmetic number, because the mean of its divisors is an integer number (67761120).

Almost surely, 24034356740 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 4034356740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6505067520).

4034356740 is an abundant number, since it is smaller than the sum of its proper divisors (8975778300).

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

4034356740 is a wasteful number, since it uses less digits than its factorization.

4034356740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 4034356740 is about 63516.5863377433. The cubic root of 4034356740 is about 1591.9329286870.

The spelling of 4034356740 in words is "four billion, thirty-four million, three hundred fifty-six thousand, seven hundred forty".