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3848378240 = 27573372549
BaseRepresentation
bin1110010101100001…
…1001011110000000
3100221012101212111102
43211120121132000
530340141100430
61433512033532
7164236450430
oct34530313600
910835355442
103848378240
1116a5344593
128b49928a8
134943a55b5
142871662c0
15177cc5345
hexe5619780

3848378240 has 128 divisors (see below), whose sum is σ = 10549656000. Its totient is φ = 1315012608.

The previous prime is 3848378221. The next prime is 3848378243. The reversal of 3848378240 is 428738483.

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

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3848378243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1508486 + ... + 1511034.

Almost surely, 23848378240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3848378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5274828000).

3848378240 is an abundant number, since it is smaller than the sum of its proper divisors (6701277760).

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

3848378240 is a wasteful number, since it uses less digits than its factorization.

3848378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 47.

The square root of 3848378240 is about 62035.2983389296. The cubic root of 3848378240 is about 1567.0851076844.

The spelling of 3848378240 in words is "three billion, eight hundred forty-eight million, three hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 337 448 560 640 674 896 1120 1348 1685 2240 2359 2549 2696 3370 4480 4718 5098 5392 6740 9436 10196 10784 11795 12745 13480 17843 18872 20392 21568 23590 25490 26960 35686 37744 40784 43136 47180 50980 53920 71372 75488 81568 89215 94360 101960 107840 142744 150976 163136 178430 188720 203920 215680 285488 301952 326272 356860 377440 407840 570976 713720 754880 815680 859013 1141952 1427440 1509760 1631360 1718026 2283904 2854880 3436052 4295065 5709760 6013091 6872104 8590130 11419520 12026182 13744208 17180260 24052364 27488416 30065455 34360520 48104728 54976832 60130910 68721040 96209456 109953664 120261820 137442080 192418912 240523640 274884160 384837824 481047280 549768320 769675648 962094560 1924189120 3848378240