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2034215144 = 2313210114897
BaseRepresentation
bin111100100111111…
…1010100011101000
312020202201211120122
41321033322203220
513131224341034
6533504142412
7101260354253
oct17117724350
95222654518
102034215144
11954296a45
12489307a08
13265596b00
1415424409a
15bd8c062e
hex793fa8e8

2034215144 has 48 divisors (see below), whose sum is σ = 4171291020. Its totient is φ = 929510400.

The previous prime is 2034215111. The next prime is 2034215167. The reversal of 2034215144 is 4415124302.

It can be written as a sum of positive squares in 6 ways, for example, as 1344102244 + 690112900 = 36662^2 + 26270^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129104 + ... + 144000.

Almost surely, 22034215144 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 2034215144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085645510).

2034215144 is an abundant number, since it is smaller than the sum of its proper divisors (2137075876).

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

2034215144 is a wasteful number, since it uses less digits than its factorization.

2034215144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15030 (or 15013 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 2034215144 is about 45102.2742663826. The cubic root of 2034215144 is about 1267.0651938362.

Adding to 2034215144 its reverse (4415124302), we get a palindrome (6449339446).

The spelling of 2034215144 in words is "two billion, thirty-four million, two hundred fifteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 101 104 169 202 338 404 676 808 1313 1352 2626 5252 10504 14897 17069 29794 34138 59588 68276 119176 136552 193661 387322 774644 1504597 1549288 2517593 3009194 5035186 6018388 10070372 12036776 19559761 20140744 39119522 78239044 156478088 254276893 508553786 1017107572 2034215144