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3361070680 = 2351117641701
BaseRepresentation
bin1100100001010101…
…1101111001011000
322200020110002012021
43020111131321120
523340413230210
61313303224224
7146201425612
oct31025357130
98606402167
103361070680
111475267170
12799748074
13417445726
1423c555db2
1514a117bda
hexc855de58

3361070680 has 128 divisors (see below), whose sum is σ = 8761296960. Its totient is φ = 1146880000.

The previous prime is 3361070677. The next prime is 3361070693. The reversal of 3361070680 is 860701633.

3361070680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33610706802 = 22593592231911324800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4794330 + ... + 4795030.

Almost surely, 23361070680 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 3361070680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4380648480).

3361070680 is an abundant number, since it is smaller than the sum of its proper divisors (5400226280).

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

3361070680 is a wasteful number, since it uses less digits than its factorization.

3361070680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 3361070680 is about 57974.7417415550. The cubic root of 3361070680 is about 1497.9335515382.

The spelling of 3361070680 in words is "three billion, three hundred sixty-one million, seventy thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 641 680 701 748 935 1282 1402 1496 1870 2564 2804 3205 3505 3740 5128 5608 6410 7010 7051 7480 7711 10897 11917 12820 14020 14102 15422 21794 23834 25640 28040 28204 30844 35255 38555 43588 47668 54485 56408 59585 61688 70510 77110 87176 95336 108970 119170 119867 131087 141020 154220 217940 238340 239734 262174 282040 308440 435880 449341 476680 479468 524348 599335 655435 898682 958936 1048696 1198670 1310870 1797364 2246705 2397340 2621740 3594728 4493410 4794680 4942751 5243480 7638797 8986820 9885502 15277594 17973640 19771004 24713755 30555188 38193985 39542008 49427510 61110376 76387970 84026767 98855020 152775940 168053534 197710040 305551880 336107068 420133835 672214136 840267670 1680535340 3361070680