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1438340736 = 27371928163
BaseRepresentation
bin101010110111011…
…0101011010000000
310201020111021120010
41111232311122000
510421203400421
6354420344520
750433460140
oct12556653200
93636437503
101438340736
116789a6758
12341845140
1319bcb3cc1
14d9052920
158641a076
hex55bb5680

1438340736 has 128 divisors (see below), whose sum is σ = 4596364800. Its totient is φ = 389311488.

The previous prime is 1438340723. The next prime is 1438340747. The reversal of 1438340736 is 6370438341.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1438340694 and 1438340703.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36991 + ... + 65153.

It is an arithmetic number, because the mean of its divisors is an integer number (35909100).

Almost surely, 21438340736 is an apocalyptic number.

1438340736 is a gapful number since it is divisible by the number (16) 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 1438340736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298182400).

1438340736 is an abundant number, since it is smaller than the sum of its proper divisors (3158024064).

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

1438340736 is a wasteful number, since it uses less digits than its factorization.

1438340736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28206 (or 28194 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 1438340736 is about 37925.4628976365. The cubic root of 1438340736 is about 1128.8093381804.

The spelling of 1438340736 in words is "one billion, four hundred thirty-eight million, three hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 266 304 336 384 399 448 456 532 608 672 798 896 912 1064 1216 1344 1596 1824 2128 2432 2688 3192 3648 4256 6384 7296 8512 12768 17024 25536 28163 51072 56326 84489 112652 168978 197141 225304 337956 394282 450608 535097 591423 675912 788564 901216 1070194 1182846 1351824 1577128 1605291 1802432 2140388 2365692 2703648 3154256 3210582 3604864 3745679 4280776 4731384 5407296 6308512 6421164 7491358 8561552 9462768 10814592 11237037 12617024 12842328 14982716 17123104 18925536 22474074 25234048 25684656 29965432 34246208 37851072 44948148 51369312 59930864 68492416 75702144 89896296 102738624 119861728 179792592 205477248 239723456 359585184 479446912 719170368 1438340736