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1334341680 = 243573125621
BaseRepresentation
bin100111110001000…
…0111000000110000
310102222210120200020
41033202013000300
510213042413210
6340223323440
745031500660
oct11742070060
93388716606
101334341680
11625223721
12312a50580
131835a01b9
14c93001a0
157c225770
hex4f887030

1334341680 has 160 divisors (see below), whose sum is σ = 4880068608. Its totient is φ = 295142400.

The previous prime is 1334341651. The next prime is 1334341691. The reversal of 1334341680 is 861434331.

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, 39270 + ... + 64890.

Almost surely, 21334341680 is an apocalyptic number.

1334341680 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 1334341680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440034304).

1334341680 is an abundant number, since it is smaller than the sum of its proper divisors (3545726928).

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

1334341680 is a wasteful number, since it uses less digits than its factorization.

1334341680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25675 (or 25669 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 1334341680 is about 36528.6419128880. The cubic root of 1334341680 is about 1100.9198036622.

The spelling of 1334341680 in words is "one billion, three hundred thirty-four million, three hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 105 112 120 124 140 155 168 186 210 217 240 248 280 310 336 372 420 434 465 496 560 620 651 744 840 868 930 1085 1240 1302 1488 1680 1736 1860 2170 2480 2604 3255 3472 3720 4340 5208 6510 7440 8680 10416 13020 17360 25621 26040 51242 52080 76863 102484 128105 153726 179347 204968 256210 307452 358694 384315 409936 512420 538041 614904 717388 768630 794251 896735 1024840 1076082 1229808 1434776 1537260 1588502 1793470 2049680 2152164 2382753 2690205 2869552 3074520 3177004 3586940 3971255 4304328 4765506 5380410 5559757 6149040 6354008 7173880 7942510 8608656 9531012 10760820 11119514 11913765 12708016 14347760 15885020 16679271 19062024 21521640 22239028 23827530 27798785 31770040 33358542 38124048 43043280 44478056 47655060 55597570 63540080 66717084 83396355 88956112 95310120 111195140 133434168 166792710 190620240 222390280 266868336 333585420 444780560 667170840 1334341680