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348027071320 = 2351931139106273
BaseRepresentation
bin1010001000010000000…
…01111010101101011000
31020021022121100001000101
411010020001322231120
521200224412240240
6423514215545144
734100302203415
oct5041001725530
91207277301011
10348027071320
11124663232885
125754968b1b4
1326a84c121c6
1412bb782310c
1590bdc3c39a
hex510807ab58

348027071320 has 128 divisors (see below), whose sum is σ = 856993536000. Its totient is φ = 126710231040.

The previous prime is 348027071317. The next prime is 348027071321. The reversal of 348027071320 is 23170720843.

It is a super-2 number, since 2×3480270713202 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 348027071320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348027071321) 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, 3221704 + ... + 3327976.

It is an arithmetic number, because the mean of its divisors is an integer number (6695262000).

Almost surely, 2348027071320 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 348027071320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428496768000).

348027071320 is an abundant number, since it is smaller than the sum of its proper divisors (508966464680).

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

348027071320 is a wasteful number, since it uses less digits than its factorization.

348027071320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106473 (or 106469 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The spelling of 348027071320 in words is "three hundred forty-eight billion, twenty-seven million, seventy-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 31 38 40 62 76 95 124 139 152 155 190 248 278 310 380 556 589 620 695 760 1112 1178 1240 1390 2356 2641 2780 2945 4309 4712 5282 5560 5890 8618 10564 11780 13205 17236 21128 21545 23560 26410 34472 43090 52820 81871 86180 105640 106273 163742 172360 212546 327484 409355 425092 531365 654968 818710 850184 1062730 1637420 2019187 2125460 3274840 3294463 4038374 4250920 6588926 8076748 10095935 13177852 14771947 16153496 16472315 20191870 26355704 29543894 32944630 40383740 59087788 62594797 65889260 73859735 80767480 118175576 125189594 131778520 147719470 250379188 280666993 295438940 312973985 457930357 500758376 561333986 590877880 625947970 915860714 1122667972 1251895940 1403334965 1831721428 2245335944 2289651785 2503791880 2806669930 3663442856 4579303570 5613339860 8700676783 9158607140 11226679720 17401353566 18317214280 34802707132 43503383915 69605414264 87006767830 174013535660 348027071320