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3356928 = 28323147
BaseRepresentation
bin1100110011100100000000
320022112211200
430303210000
51324410203
6155541200
740350651
oct14634400
96275750
103356928
111993123
12115a800
13906c63
14635528
154649a3
hex333900

3356928 has 108 divisors (see below), whose sum is σ = 10203648. Its totient is φ = 1059840.

The previous prime is 3356921. The next prime is 3356929. The reversal of 3356928 is 8296533.

3356928 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33569282 = 22537931194368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3356892 and 3356901.

It is not an unprimeable number, because it can be changed into a prime (3356921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71401 + ... + 71447.

Almost surely, 23356928 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 3356928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5101824).

3356928 is an abundant number, since it is smaller than the sum of its proper divisors (6846720).

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

3356928 is a wasteful number, since it uses less digits than its factorization.

3356928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 83 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 3356928 is about 1832.1921296633. The cubic root of 3356928 is about 149.7317873657.

The spelling of 3356928 in words is "three million, three hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 47 48 62 64 72 93 94 96 124 128 141 144 186 188 192 248 256 279 282 288 372 376 384 423 496 558 564 576 744 752 768 846 992 1116 1128 1152 1457 1488 1504 1692 1984 2232 2256 2304 2914 2976 3008 3384 3968 4371 4464 4512 5828 5952 6016 6768 7936 8742 8928 9024 11656 11904 12032 13113 13536 17484 17856 18048 23312 23808 26226 27072 34968 35712 36096 46624 52452 54144 69936 71424 93248 104904 108288 139872 186496 209808 279744 372992 419616 559488 839232 1118976 1678464 3356928