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3871429320 = 2335114368207
BaseRepresentation
bin1110011011000001…
…0101001011001000
3100222210202222122010
43212300111023020
530412041214240
61440054055520
7164636414643
oct34660251310
910883688563
103871429320
111707359170
1290064a5a0
134990b66a5
1428a246a5a
15179d2a280
hexe6c152c8

3871429320 has 128 divisors (see below), whose sum is σ = 12964976640. Its totient is φ = 916688640.

The previous prime is 3871429319. The next prime is 3871429321. The reversal of 3871429320 is 239241783.

It is an interprime number because it is at equal distance from previous prime (3871429319) and next prime (3871429321).

It is not an unprimeable number, because it can be changed into a prime (3871429321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22657 + ... + 90863.

It is an arithmetic number, because the mean of its divisors is an integer number (101288880).

Almost surely, 23871429320 is an apocalyptic number.

3871429320 is a gapful number since it is divisible by the number (30) 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 3871429320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6482488320).

3871429320 is an abundant number, since it is smaller than the sum of its proper divisors (9093547320).

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

3871429320 is a wasteful number, since it uses less digits than its factorization.

3871429320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68275 (or 68271 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 3871429320 is about 62220.8109879645. The cubic root of 3871429320 is about 1570.2077321246.

The spelling of 3871429320 in words is "three billion, eight hundred seventy-one million, four hundred twenty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 43 44 55 60 66 86 88 110 120 129 132 165 172 215 220 258 264 330 344 430 440 473 516 645 660 860 946 1032 1290 1320 1419 1720 1892 2365 2580 2838 3784 4730 5160 5676 7095 9460 11352 14190 18920 28380 56760 68207 136414 204621 272828 341035 409242 545656 682070 750277 818484 1023105 1364140 1500554 1636968 2046210 2250831 2728280 2932901 3001108 3751385 4092420 4501662 5865802 6002216 7502770 8184840 8798703 9003324 11254155 11731604 14664505 15005540 17597406 18006648 22508310 23463208 29329010 30011080 32261911 35194812 43993515 45016620 58658020 64523822 70389624 87987030 90033240 96785733 117316040 129047644 161309555 175974060 193571466 258095288 322619110 351948120 387142932 483928665 645238220 774285864 967857330 1290476440 1935714660 3871429320