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380884680 = 233451110687
BaseRepresentation
bin10110101100111…
…101011011001000
3222112200221120000
4112230331123020
51240001302210
6101443403000
712303315651
oct2654753310
9875627500
10380884680
11185aaa330
12a7683460
1360baaa67
143882a528
1523689ac0
hex16b3d6c8

380884680 has 160 divisors (see below), whose sum is σ = 1396707840. Its totient is φ = 92327040.

The previous prime is 380884619. The next prime is 380884681. The reversal of 380884680 is 86488083.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (380884681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30297 + ... + 40983.

It is an arithmetic number, because the mean of its divisors is an integer number (8729424).

Almost surely, 2380884680 is an apocalyptic number.

380884680 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 380884680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698353920).

380884680 is an abundant number, since it is smaller than the sum of its proper divisors (1015823160).

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

380884680 is a wasteful number, since it uses less digits than its factorization.

380884680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10721 (or 10708 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 380884680 is about 19516.2670610955. The cubic root of 380884680 is about 724.8773030571.

It can be divided in two parts, 3808 and 84680, that added together give a palindrome (88488).

The spelling of 380884680 in words is "three hundred eighty million, eight hundred eighty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 264 270 297 324 330 360 396 405 440 495 540 594 648 660 792 810 891 990 1080 1188 1320 1485 1620 1782 1980 2376 2970 3240 3564 3960 4455 5940 7128 8910 10687 11880 17820 21374 32061 35640 42748 53435 64122 85496 96183 106870 117557 128244 160305 192366 213740 235114 256488 288549 320610 352671 384732 427480 470228 480915 577098 587785 641220 705342 769464 865647 940456 961830 1058013 1154196 1175570 1282440 1410684 1442745 1731294 1763355 1923660 2116026 2308392 2351140 2821368 2885490 3174039 3462588 3526710 3847320 4232052 4328235 4702280 5290065 5770980 6348078 6925176 7053420 8464104 8656470 9522117 10580130 11541960 12696156 14106840 15870195 17312940 19044234 21160260 25392312 31740390 34625880 38088468 42320520 47610585 63480780 76176936 95221170 126961560 190442340 380884680