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1045345392 = 243371326591
BaseRepresentation
bin111110010011101…
…011010001110000
32200212000001022000
4332103223101300
54120102023032
6251421214000
734622201130
oct7623532160
92625001260
101045345392
11497085513
12252101300
13138755a90
149cb92ac0
1561b8be7c
hex3e4eb470

1045345392 has 160 divisors (see below), whose sum is σ = 3693096960. Its totient is φ = 275685120.

The previous prime is 1045345369. The next prime is 1045345403. The reversal of 1045345392 is 2935435401.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 26017 + ... + 52607.

It is an arithmetic number, because the mean of its divisors is an integer number (23081856).

Almost surely, 21045345392 is an apocalyptic number.

1045345392 is a gapful number since it is divisible by the number (12) 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 1045345392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846548480).

1045345392 is an abundant number, since it is smaller than the sum of its proper divisors (2647751568).

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

1045345392 is a wasteful number, since it uses less digits than its factorization.

1045345392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26628 (or 26616 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 1045345392 is about 32331.8015582182. The cubic root of 1045345392 is about 1014.8922506084.

The spelling of 1045345392 in words is "one billion, forty-five million, three hundred forty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1404 1456 1512 1638 1872 2184 2457 2808 3024 3276 4368 4914 5616 6552 9828 13104 19656 26591 39312 53182 79773 106364 159546 186137 212728 239319 319092 345683 372274 425456 478638 558411 638184 691366 717957 744548 957276 1037049 1116822 1276368 1382732 1435914 1489096 1675233 1914552 2074098 2233644 2419781 2765464 2871828 2978192 3111147 3350466 3829104 4148196 4467288 4839562 5025699 5530928 5743656 6222294 6700932 7259343 8296392 8934576 9333441 9679124 10051398 11487312 12444588 13401864 14518686 16592784 18666882 19358248 20102796 21778029 24889176 26803728 29037372 37333764 38716496 40205592 43556058 49778352 58074744 65334087 74667528 80411184 87112116 116149488 130668174 149335056 174224232 261336348 348448464 522672696 1045345392