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1044434040 = 2335132772417
BaseRepresentation
bin111110010000001…
…100110001111000
32200210021202011020
4332100030301320
54114333342130
6251345502440
734611354126
oct7620146170
92623252136
101044434040
11496612831
12251941a20
131384c7010
149c9d6916
1561a5be10
hex3e40cc78

1044434040 has 128 divisors (see below), whose sum is σ = 3387908160. Its totient is φ = 256057344.

The previous prime is 1044434023. The next prime is 1044434057. The reversal of 1044434040 is 404344401.

It is an interprime number because it is at equal distance from previous prime (1044434023) and next prime (1044434057).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1044434040.

It is a congruent number.

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, 430912 + ... + 433328.

Almost surely, 21044434040 is an apocalyptic number.

1044434040 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 1044434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693954080).

1044434040 is an abundant number, since it is smaller than the sum of its proper divisors (2343474120).

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

1044434040 is a wasteful number, since it uses less digits than its factorization.

1044434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2721 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 1044434040 is about 32317.7047452321. The cubic root of 1044434040 is about 1014.5972307331.

Adding to 1044434040 its reverse (404344401), we get a palindrome (1448778441).

The spelling of 1044434040 in words is "one billion, forty-four million, four hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 277 312 390 520 554 780 831 1108 1385 1560 1662 2216 2417 2770 3324 3601 4155 4834 5540 6648 7202 7251 8310 9668 10803 11080 12085 14404 14502 16620 18005 19336 21606 24170 28808 29004 31421 33240 36010 36255 43212 48340 54015 58008 62842 72020 72510 86424 94263 96680 108030 125684 144040 145020 157105 188526 216060 251368 290040 314210 377052 432120 471315 628420 669509 754104 942630 1256840 1339018 1885260 2008527 2678036 3347545 3770520 4017054 5356072 6695090 8034108 8703617 10042635 13390180 16068216 17407234 20085270 26110851 26780360 34814468 40170540 43518085 52221702 69628936 80341080 87036170 104443404 130554255 174072340 208886808 261108510 348144680 522217020 1044434040