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4022342340 = 2235297331667
BaseRepresentation
bin1110111111000000…
…0001001011000100
3101101022202011101020
43233300001023010
531214204423330
61503044431140
7201451226412
oct35760011304
911338664336
104022342340
111784564375
129430a84b0
134c1445033
142a22cc2b2
151881da210
hexefc012c4

4022342340 has 96 divisors (see below), whose sum is σ = 11810897280. Its totient is φ = 1021418496.

The previous prime is 4022342333. The next prime is 4022342371. The reversal of 4022342340 is 432432204.

It is a super-4 number, since 4×40223423404 (a number of 40 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4022342340.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111187 + ... + 142853.

It is an arithmetic number, because the mean of its divisors is an integer number (123030180).

Almost surely, 24022342340 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 4022342340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5905448640).

4022342340 is an abundant number, since it is smaller than the sum of its proper divisors (7788554940).

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

4022342340 is a wasteful number, since it uses less digits than its factorization.

4022342340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31781 (or 31779 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 4022342340 is about 63421.9389486004. The cubic root of 4022342340 is about 1590.3510873773.

Adding to 4022342340 its reverse (432432204), we get a palindrome (4454774544).

The spelling of 4022342340 in words is "four billion, twenty-two million, three hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 73 87 116 145 146 174 219 290 292 348 365 435 438 580 730 870 876 1095 1460 1740 2117 2190 4234 4380 6351 8468 10585 12702 21170 25404 31667 31755 42340 63334 63510 95001 126668 127020 158335 190002 316670 380004 475005 633340 918343 950010 1836686 1900020 2311691 2755029 3673372 4591715 4623382 5510058 6935073 9183430 9246764 11020116 11558455 13775145 13870146 18366860 23116910 27550290 27740292 34675365 46233820 55100580 67039039 69350730 134078078 138701460 201117117 268156156 335195195 402234234 670390390 804468468 1005585585 1340780780 2011171170 4022342340