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1044300040 = 235719732689
BaseRepresentation
bin111110001111101…
…100000100001000
32200210000221100021
4332033230010020
54114320100130
6251342550224
734610255350
oct7617540410
92623027307
101044300040
11496531093
12251898374
1313847b024
149c99db60
1561a3237a
hex3e3ec108

1044300040 has 128 divisors (see below), whose sum is σ = 2866464000. Its totient is φ = 334430208.

The previous prime is 1044300017. The next prime is 1044300041. The reversal of 1044300040 is 400034401.

It is a junction number, because it is equal to n+sod(n) for n = 1044299987 and 1044300023.

It is not an unprimeable number, because it can be changed into a prime (1044300041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 387016 + ... + 389704.

It is an arithmetic number, because the mean of its divisors is an integer number (22394250).

Almost surely, 21044300040 is an apocalyptic number.

1044300040 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 1044300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433232000).

1044300040 is an abundant number, since it is smaller than the sum of its proper divisors (1822163960).

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

1044300040 is a wasteful number, since it uses less digits than its factorization.

1044300040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1044300040 is about 32315.6315117003. The cubic root of 1044300040 is about 1014.5538382231.

Adding to 1044300040 its reverse (400034401), we get a palindrome (1444334441).

The spelling of 1044300040 in words is "one billion, forty-four million, three hundred thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 73 76 95 133 140 146 152 190 266 280 292 365 380 511 532 584 665 730 760 1022 1064 1330 1387 1460 2044 2555 2660 2689 2774 2920 4088 5110 5320 5378 5548 6935 9709 10220 10756 11096 13445 13870 18823 19418 20440 21512 26890 27740 37646 38836 48545 51091 53780 55480 75292 77672 94115 97090 102182 107560 150584 188230 194180 196297 204364 255455 357637 376460 388360 392594 408728 510910 715274 752920 785188 981485 1021820 1374079 1430548 1570376 1788185 1962970 2043640 2748158 2861096 3576370 3729643 3925940 5496316 6870395 7152740 7459286 7851880 10992632 13740790 14305480 14918572 18648215 26107501 27481580 29837144 37296430 52215002 54963160 74592860 104430004 130537505 149185720 208860008 261075010 522150020 1044300040