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3385476 = 223943
BaseRepresentation
bin1100111010100010000100
320101000000000
430322202010
51331313401
6200321300
740530123
oct14724204
96330000
103385476
111a02616
121173230
13916c53
14641aba
1546d186
hex33a884

3385476 has 60 divisors (see below), whose sum is σ = 9093392. Its totient is φ = 1102248.

The previous prime is 3385469. The next prime is 3385511. The reversal of 3385476 is 6745833.

It is a happy number.

It is a super-2 number, since 2×33854762 = 22922895493152, which contains 22 as substring.

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

Its product of digits (60480) is a multiple of the sum of its prime divisors (48).

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 3385476.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 78711 + ... + 78753.

Almost surely, 23385476 is an apocalyptic number.

3385476 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3385476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546696).

3385476 is an abundant number, since it is smaller than the sum of its proper divisors (5707916).

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

3385476 is an frugal number, since it uses more digits than its factorization.

3385476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 48 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 3385476 is about 1839.9663040393. The cubic root of 3385476 is about 150.1550396961.

It can be divided in two parts, 33854 and 76, that added together give a triangular number (33930 = T260).

The spelling of 3385476 in words is "three million, three hundred eighty-five thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 243 258 324 387 486 516 729 774 972 1161 1458 1548 2187 2322 2916 3483 4374 4644 6561 6966 8748 10449 13122 13932 19683 20898 26244 31347 39366 41796 62694 78732 94041 125388 188082 282123 376164 564246 846369 1128492 1692738 3385476