Search a number
-
+
1045055304 = 2333103107439
BaseRepresentation
bin111110010010100…
…100011101001000
32200211110022101000
4332102210131020
54120013232204
6251411055000
734616552316
oct7622443510
92624408330
101045055304
114969a7577
12251ba1460
13138683a27
149cb190b6
1561b31039
hex3e4a4748

1045055304 has 128 divisors (see below), whose sum is σ = 2965248000. Its totient is φ = 340967232.

The previous prime is 1045055303. The next prime is 1045055311. The reversal of 1045055304 is 4035505401.

1045055304 is a `hidden beast` number, since 104 + 5 + 0 + 553 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1045055303) 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, 2380317 + ... + 2380755.

It is an arithmetic number, because the mean of its divisors is an integer number (23166000).

Almost surely, 21045055304 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 1045055304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482624000).

1045055304 is an abundant number, since it is smaller than the sum of its proper divisors (1920192696).

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

1045055304 is a wasteful number, since it uses less digits than its factorization.

1045055304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 1045055304 is about 32327.3151375118. The cubic root of 1045055304 is about 1014.7983628838.

The spelling of 1045055304 in words is "one billion, forty-five million, fifty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 103 107 108 206 214 216 309 321 412 428 439 618 642 824 856 878 927 963 1236 1284 1317 1756 1854 1926 2472 2568 2634 2781 2889 3512 3708 3852 3951 5268 5562 5778 7416 7704 7902 10536 11021 11124 11556 11853 15804 22042 22248 23112 23706 31608 33063 44084 45217 46973 47412 66126 88168 90434 93946 94824 99189 132252 135651 140919 180868 187892 198378 264504 271302 281838 297567 361736 375784 396756 406953 422757 542604 563676 595134 793512 813906 845514 1085208 1127352 1190268 1220859 1268271 1627812 1691028 2380536 2441718 2536542 3255624 3382056 4838219 4883436 5073084 9676438 9766872 10146168 14514657 19352876 29029314 38705752 43543971 58058628 87087942 116117256 130631913 174175884 261263826 348351768 522527652 1045055304