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4364040 = 233541887
BaseRepresentation
bin10000101001011100001000
322012201100010
4100221130020
52104122130
6233311520
752044102
oct20513410
98181303
104364040
11251084a
1215655a0
13b9a495
14818572
155b30b0
hex429708

4364040 has 64 divisors (see below), whose sum is σ = 13426560. Its totient is φ = 1134080.

The previous prime is 4364029. The next prime is 4364047. The reversal of 4364040 is 404634.

It is a junction number, because it is equal to n+sod(n) for n = 4363998 and 4364016.

It is not an unprimeable number, because it can be changed into a prime (4364047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4477 + ... + 5363.

It is an arithmetic number, because the mean of its divisors is an integer number (209790).

Almost surely, 24364040 is an apocalyptic number.

4364040 is a gapful number since it is divisible by the number (40) 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 4364040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6713280).

4364040 is an abundant number, since it is smaller than the sum of its proper divisors (9062520).

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

4364040 is a wasteful number, since it uses less digits than its factorization.

4364040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4364040 is about 2089.0284823334. The cubic root of 4364040 is about 163.4166264973.

Adding to 4364040 its reverse (404634), we get a palindrome (4768674).

The spelling of 4364040 in words is "four million, three hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 887 984 1230 1640 1774 2460 2661 3548 4435 4920 5322 7096 8870 10644 13305 17740 21288 26610 35480 36367 53220 72734 106440 109101 145468 181835 218202 290936 363670 436404 545505 727340 872808 1091010 1454680 2182020 4364040