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4022010342 = 233714971411
BaseRepresentation
bin1110111110111011…
…0000000111100110
3101101022010021222000
43233232300013212
531214113312332
61503033350130
7201445344450
oct35756600746
911338107860
104022010342
111784357999
12942b68346
134c1359b9c
142a22432d0
15188171b7c
hexefbb01e6

4022010342 has 64 divisors (see below), whose sum is σ = 10283328000. Its totient is φ = 1141417440.

The previous prime is 4022010301. The next prime is 4022010347. The reversal of 4022010342 is 2430102204.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022010347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20617 + ... + 92027.

It is an arithmetic number, because the mean of its divisors is an integer number (160677000).

Almost surely, 24022010342 is an apocalyptic number.

4022010342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4022010342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5141664000).

4022010342 is an abundant number, since it is smaller than the sum of its proper divisors (6261317658).

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

4022010342 is a wasteful number, since it uses less digits than its factorization.

4022010342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71578 (or 71572 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4022010342 is about 63419.3215195495. The cubic root of 4022010342 is about 1590.3073311226.

Adding to 4022010342 its reverse (2430102204), we get a palindrome (6452112546).

The spelling of 4022010342 in words is "four billion, twenty-two million, ten thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 149 189 298 378 447 894 1043 1341 2086 2682 3129 4023 6258 8046 9387 18774 28161 56322 71411 142822 214233 428466 499877 642699 999754 1285398 1499631 1928097 2999262 3856194 4498893 8997786 10640239 13496679 21280478 26993358 31920717 63841434 74481673 95762151 148963346 191524302 223445019 287286453 446890038 574572906 670335057 1340670114 2011005171 4022010342