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3146080880 = 245314130941
BaseRepresentation
bin1011101110000101…
…0110001001110000
322010020220110122002
42323201112021300
522420344042010
61240103233132
7140651150315
oct27341261160
98106813562
103146080880
111374976148
127397487a8
133b1a40627
1421bb90d0c
151362ec1a5
hexbb856270

3146080880 has 80 divisors (see below), whose sum is σ = 7735004928. Its totient is φ = 1188096000.

The previous prime is 3146080879. The next prime is 3146080907. The reversal of 3146080880 is 880806413.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86210 + ... + 117150.

Almost surely, 23146080880 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 3146080880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867502464).

3146080880 is an abundant number, since it is smaller than the sum of its proper divisors (4588924048).

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

3146080880 is a wasteful number, since it uses less digits than its factorization.

3146080880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31026 (or 31020 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 3146080880 is about 56089.9356391144. The cubic root of 3146080880 is about 1465.2890172058.

The spelling of 3146080880 in words is "three billion, one hundred forty-six million, eighty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 41 62 80 82 124 155 164 205 248 310 328 410 496 620 656 820 1240 1271 1640 2480 2542 3280 5084 6355 10168 12710 20336 25420 30941 50840 61882 101680 123764 154705 247528 309410 495056 618820 959171 1237640 1268581 1918342 2475280 2537162 3836684 4795855 5074324 6342905 7673368 9591710 10148648 12685810 15346736 19183420 20297296 25371620 38366840 39326011 50743240 76733680 78652022 101486480 157304044 196630055 314608088 393260110 629216176 786520220 1573040440 3146080880