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3371283920 = 245794991069
BaseRepresentation
bin1100100011110001…
…1011010111010000
322200221122222010102
43020330123113100
523401022041140
61314310151532
7146354304044
oct31074332720
98627588112
103371283920
111480002564
127a10525a8
134195b0374
1423da54024
1514ae83e15
hexc8f1b5d0

3371283920 has 80 divisors (see below), whose sum is σ = 7960800000. Its totient is φ = 1327532544.

The previous prime is 3371283913. The next prime is 3371283941. The reversal of 3371283920 is 293821733.

It is a happy number.

3371283920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×33712839202 = 22731110538501132800, which contains 22 as substring.

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, 3153146 + ... + 3154214.

It is an arithmetic number, because the mean of its divisors is an integer number (99510000).

Almost surely, 23371283920 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 3371283920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3980400000).

3371283920 is an abundant number, since it is smaller than the sum of its proper divisors (4589516080).

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

3371283920 is a wasteful number, since it uses less digits than its factorization.

3371283920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 3371283920 is about 58062.7584601352. The cubic root of 3371283920 is about 1499.4492674501.

The spelling of 3371283920 in words is "three billion, three hundred seventy-one million, two hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 499 632 790 998 1069 1264 1580 1996 2138 2495 3160 3992 4276 4990 5345 6320 7984 8552 9980 10690 17104 19960 21380 39421 39920 42760 78842 84451 85520 157684 168902 197105 315368 337804 394210 422255 533431 630736 675608 788420 844510 1066862 1351216 1576840 1689020 2133724 2667155 3153680 3378040 4267448 5334310 6756080 8534896 10668620 21337240 42141049 42674480 84282098 168564196 210705245 337128392 421410490 674256784 842820980 1685641960 3371283920