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1540004340 = 2235721921451
BaseRepresentation
bin101101111001010…
…1001100111110100
310222022210022210210
41123302221213310
511123220114330
6412451345420
753106551400
oct13362514764
93868708723
101540004340
11720324066
1236b8b2270
131b708aa94
14108758100
15902ec8b0
hex5bca99f4

1540004340 has 216 divisors, whose sum is σ = 5297558112. Its totient is φ = 333244800.

The previous prime is 1540004339. The next prime is 1540004419. The reversal of 1540004340 is 434000451.

It is a super-2 number, since 2×15400043402 = 4743226734437671200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1060615 + ... + 1062065.

It is an arithmetic number, because the mean of its divisors is an integer number (24525732).

Almost surely, 21540004340 is an apocalyptic number.

1540004340 is a gapful number since it is divisible by the number (10) 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 1540004340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648779056).

1540004340 is an abundant number, since it is smaller than the sum of its proper divisors (3757553772).

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

1540004340 is a wasteful number, since it uses less digits than its factorization.

1540004340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 1540004340 is about 39242.8890373785. The cubic root of 1540004340 is about 1154.8014351030.

Adding to 1540004340 its reverse (434000451), we get a palindrome (1974004791).

The spelling of 1540004340 in words is "one billion, five hundred forty million, four thousand, three hundred forty".