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2034240444 = 2232614572027
BaseRepresentation
bin111100101000000…
…0000101110111100
312020202210010021200
41321100000232330
513131231143234
6533504455500
7101260521105
oct17120005674
95222703250
102034240444
11954303a55
1248931a590
132655a5492
1415424d3ac
15bd8c7d99
hex79400bbc

2034240444 has 72 divisors (see below), whose sum is σ = 5240425008. Its totient is φ = 665176320.

The previous prime is 2034240419. The next prime is 2034240449. The reversal of 2034240444 is 4440424302.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034240449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1002559 + ... + 1004585.

Almost surely, 22034240444 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 2034240444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620212504).

2034240444 is an abundant number, since it is smaller than the sum of its proper divisors (3206184564).

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

2034240444 is a wasteful number, since it uses less digits than its factorization.

2034240444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 2034240444 is about 45102.5547391719. The cubic root of 2034240444 is about 1267.0704467412.

Adding to 2034240444 its reverse (4440424302), we get a palindrome (6474664746).

The spelling of 2034240444 in words is "two billion, thirty-four million, two hundred forty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 457 549 732 914 1098 1371 1828 2027 2196 2742 4054 4113 5484 6081 8108 8226 12162 16452 18243 24324 27877 36486 55754 72972 83631 111508 123647 167262 247294 250893 334524 370941 494588 501786 741882 926339 1003572 1112823 1483764 1852678 2225646 2779017 3705356 4451292 5558034 8337051 11116068 16674102 33348204 56506679 113013358 169520037 226026716 339040074 508560111 678080148 1017120222 2034240444