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1045041340 = 2257172231123
BaseRepresentation
bin111110010010100…
…001000010111100
32200211102121012211
4332102201002330
54120012310330
6251410510204
734616463520
oct7622410274
92624377184
101045041340
11496998032
12251b95364
1313867a575
149cb13d80
1561b2bd2a
hex3e4a10bc

1045041340 has 144 divisors (see below), whose sum is σ = 2782628352. Its totient is φ = 322274304.

The previous prime is 1045041313. The next prime is 1045041353. The reversal of 1045041340 is 431405401.

It is a super-2 number, since 2×10450413402 = 2184222804617991200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 930019 + ... + 931141.

It is an arithmetic number, because the mean of its divisors is an integer number (19323808).

Almost surely, 21045041340 is an apocalyptic number.

1045041340 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 1045041340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391314176).

1045041340 is an abundant number, since it is smaller than the sum of its proper divisors (1737587012).

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

1045041340 is a wasteful number, since it uses less digits than its factorization.

1045041340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 1045041340 is about 32327.0991584460. The cubic root of 1045041340 is about 1014.7938429612.

Adding to 1045041340 its reverse (431405401), we get a palindrome (1476446741).

The spelling of 1045041340 in words is "one billion, forty-five million, forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 23 28 34 35 46 68 70 85 92 115 119 140 161 170 230 238 289 322 340 391 460 476 578 595 644 782 805 1123 1156 1190 1445 1564 1610 1955 2023 2246 2380 2737 2890 3220 3910 4046 4492 5474 5615 5780 6647 7820 7861 8092 10115 10948 11230 13294 13685 15722 19091 20230 22460 25829 26588 27370 31444 33235 38182 39305 40460 46529 51658 54740 66470 76364 78610 93058 95455 103316 129145 132940 133637 157220 180803 186116 190910 232645 258290 267274 324547 361606 381820 439093 465290 516580 534548 649094 668185 723212 878186 904015 930580 1298188 1336370 1622735 1756372 1808030 2195465 2271829 2672740 3073651 3245470 3616060 4390930 4543658 6147302 6490940 7464581 8781860 9087316 11359145 12294604 14929162 15368255 22718290 29858324 30736510 37322905 45436580 52252067 61473020 74645810 104504134 149291620 209008268 261260335 522520670 1045041340