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33894990 = 2335472671
BaseRepresentation
bin1000000101001…
…1001001001110
32100210001012000
42001103021032
532134114430
63210253130
7561050133
oct201231116
970701160
1033894990
1118150898
12b4271a6
137039b0c
14470458a
152e97e60
hex205324e

33894990 has 64 divisors (see below), whose sum is σ = 92344320. Its totient is φ = 8843040.

The previous prime is 33894989. The next prime is 33895003. The reversal of 33894990 is 9949833.

It is a super-2 number, since 2×338949902 = 2297740694200200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11355 + ... + 14025.

It is an arithmetic number, because the mean of its divisors is an integer number (1442880).

Almost surely, 233894990 is an apocalyptic number.

33894990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33894990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46172160).

33894990 is an abundant number, since it is smaller than the sum of its proper divisors (58449330).

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

33894990 is a wasteful number, since it uses less digits than its factorization.

33894990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 33894990 is about 5821.9403981834. The cubic root of 33894990 is about 323.6273149630.

The spelling of 33894990 in words is "thirty-three million, eight hundred ninety-four thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 90 94 135 141 235 270 282 423 470 705 846 1269 1410 2115 2538 2671 4230 5342 6345 8013 12690 13355 16026 24039 26710 40065 48078 72117 80130 120195 125537 144234 240390 251074 360585 376611 627685 721170 753222 1129833 1255370 1883055 2259666 3389499 3766110 5649165 6778998 11298330 16947495 33894990