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440342040 = 233523315749
BaseRepresentation
bin11010001111110…
…001011000011000
31010200120200201110
4122033301120120
51400211421130
6111410020320
713624563015
oct3217613030
91120520643
10440342040
1120661a546
121035776a0
13702c7a28
14426a670c
15289d1ab0
hex1a3f1618

440342040 has 64 divisors (see below), whose sum is σ = 1326780000. Its totient is φ = 116913152.

The previous prime is 440342029. The next prime is 440342053. The reversal of 440342040 is 40243044.

It is a super-2 number, since 2×4403420402 = 387802224382723200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 440341998 and 440342016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20086 + ... + 35834.

Almost surely, 2440342040 is an apocalyptic number.

440342040 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 440342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663390000).

440342040 is an abundant number, since it is smaller than the sum of its proper divisors (886437960).

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

440342040 is a wasteful number, since it uses less digits than its factorization.

440342040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15996 (or 15992 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 440342040 is about 20984.3284381464. The cubic root of 440342040 is about 760.7875262356.

Adding to 440342040 its reverse (40243044), we get a palindrome (480585084).

The spelling of 440342040 in words is "four hundred forty million, three hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 233 466 699 932 1165 1398 1864 2330 2796 3495 4660 5592 6990 9320 13980 15749 27960 31498 47247 62996 78745 94494 125992 157490 188988 236235 314980 377976 472470 629960 944940 1889880 3669517 7339034 11008551 14678068 18347585 22017102 29356136 36695170 44034204 55042755 73390340 88068408 110085510 146780680 220171020 440342040