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1350814968 = 233417472609
BaseRepresentation
bin101000010000011…
…1100110011111000
310111010210111210000
41100200330303320
510231302034333
6342012353000
745321511026
oct12040746370
93433714700
101350814968
11633555308
12318475760
13186b1a2c9
14cb58b716
157d8cb713
hex5083ccf8

1350814968 has 160 divisors (see below), whose sum is σ = 4092897600. Its totient is φ = 414609408.

The previous prime is 1350814901. The next prime is 1350814991. The reversal of 1350814968 is 8694180531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 516448 + ... + 519056.

It is an arithmetic number, because the mean of its divisors is an integer number (25580610).

Almost surely, 21350814968 is an apocalyptic number.

1350814968 is a gapful number since it is divisible by the number (18) 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 1350814968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046448800).

1350814968 is an abundant number, since it is smaller than the sum of its proper divisors (2742082632).

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

1350814968 is a wasteful number, since it uses less digits than its factorization.

1350814968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2691 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1350814968 is about 36753.4347782626. The cubic root of 1350814968 is about 1105.4318024683.

The spelling of 1350814968 in words is "one billion, three hundred fifty million, eight hundred fourteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 47 51 54 68 72 81 94 102 108 136 141 153 162 188 204 216 282 306 324 376 408 423 459 564 612 648 799 846 918 1128 1224 1269 1377 1598 1692 1836 2397 2538 2609 2754 3196 3384 3672 3807 4794 5076 5218 5508 6392 7191 7614 7827 9588 10152 10436 11016 14382 15228 15654 19176 20872 21573 23481 28764 30456 31308 43146 44353 46962 57528 62616 64719 70443 86292 88706 93924 122623 129438 133059 140886 172584 177412 187848 211329 245246 258876 266118 281772 354824 367869 399177 422658 490492 517752 532236 563544 735738 798354 845316 980984 1064472 1103607 1197531 1471476 1596708 1690632 2084591 2207214 2395062 2942952 3193416 3310821 3592593 4169182 4414428 4790124 6253773 6621642 7185186 8338364 8828856 9580248 9932463 12507546 13243284 14370372 16676728 18761319 19864926 25015092 26486568 28740744 37522638 39729852 50030184 56283957 75045276 79459704 112567914 150090552 168851871 225135828 337703742 450271656 675407484 1350814968