Search a number
-
+
3380576080 = 24576198963
BaseRepresentation
bin1100100101111111…
…0111111101010000
322201121011001120111
43021133313331100
523410411413310
61315241251104
7146526264640
oct31137677520
98647131514
103380576080
111485279932
127a4193a94
1341b4b499b
14240d92520
1514bbbc28a
hexc97f7f50

3380576080 has 80 divisors (see below), whose sum is σ = 9130022784. Its totient is φ = 1140042240.

The previous prime is 3380576063. The next prime is 3380576099. The reversal of 3380576080 is 806750833.

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

It is a super-2 number, since 2×33805760802 = 22856589265336332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 15322 + ... + 83641.

Almost surely, 23380576080 is an apocalyptic number.

It is an amenable number.

3380576080 is an abundant number, since it is smaller than the sum of its proper divisors (5749446704).

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

3380576080 is a wasteful number, since it uses less digits than its factorization.

3380576080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99044 (or 99038 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 3380576080 is about 58142.7216425238. The cubic root of 3380576080 is about 1500.8256313977.

The spelling of 3380576080 in words is "three billion, three hundred eighty million, five hundred seventy-six thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 61 70 80 112 122 140 244 280 305 427 488 560 610 854 976 1220 1708 2135 2440 3416 4270 4880 6832 8540 17080 34160 98963 197926 395852 494815 692741 791704 989630 1385482 1583408 1979260 2770964 3463705 3958520 5541928 6036743 6927410 7917040 11083856 12073486 13854820 24146972 27709640 30183715 42257201 48293944 55419280 60367430 84514402 96587888 120734860 169028804 211286005 241469720 338057608 422572010 482939440 676115216 845144020 1690288040 3380576080