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8328997314 = 23311235910333
BaseRepresentation
bin1111100000111001…
…00110100111000010
3210111110110220101000
413300130212213002
5114024210403224
63454251152430
7413254211001
oct76034464702
923443426330
108328997314
113594557a60
121745445716
13a297546a1
14590268c38
1533b3360c9
hex1f07269c2

8328997314 has 128 divisors (see below), whose sum is σ = 21428582400. Its totient is φ = 2373053760.

The previous prime is 8328997307. The next prime is 8328997321. The reversal of 8328997314 is 4137998238.

It is an interprime number because it is at equal distance from previous prime (8328997307) and next prime (8328997321).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 800892 + ... + 811224.

It is an arithmetic number, because the mean of its divisors is an integer number (167410800).

Almost surely, 28328997314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8328997314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10714291200).

8328997314 is an abundant number, since it is smaller than the sum of its proper divisors (13099585086).

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

8328997314 is a wasteful number, since it uses less digits than its factorization.

8328997314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10437 (or 10431 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 8328997314 is about 91263.3404714072. The cubic root of 8328997314 is about 2027.0489702466.

The spelling of 8328997314 in words is "eight billion, three hundred twenty-eight million, nine hundred ninety-seven thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 59 66 69 99 118 138 177 198 207 253 297 354 414 506 531 594 621 649 759 1062 1242 1298 1357 1518 1593 1947 2277 2714 3186 3894 4071 4554 5841 6831 8142 10333 11682 12213 13662 14927 17523 20666 24426 29854 30999 35046 36639 44781 61998 73278 89562 92997 113663 134343 185994 227326 237659 268686 278991 340989 403029 475318 557982 609647 681978 712977 806058 1022967 1219294 1425954 1828941 2045934 2138931 2614249 3068901 3657882 4277862 5228498 5486823 6137802 6416793 6706117 7842747 10973646 12833586 13412234 14021881 15685494 16460469 20118351 23528241 28043762 32920938 40236702 42065643 47056482 60355053 70584723 84131286 120710106 126196929 141169446 154240691 181065159 252393858 308481382 362130318 378590787 462722073 757181574 925444146 1388166219 2776332438 4164498657 8328997314