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33272940 = 2235975717
BaseRepresentation
bin111111011101…
…1010001101100
32022121102220010
41332323101230
532004213230
63145053220
7552546441
oct176732154
968542803
1033272940
11178664a8
12b187210
136b7c93c
1445c19c8
152dc39b0
hex1fbb46c

33272940 has 48 divisors (see below), whose sum is σ = 94141152. Its totient is φ = 8779776.

The previous prime is 33272909. The next prime is 33272969. The reversal of 33272940 is 4927233.

It is a super-2 number, since 2×332729402 = 2214177072487200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 33272898 and 33272907.

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, 2962 + ... + 8678.

It is an arithmetic number, because the mean of its divisors is an integer number (1961274).

Almost surely, 233272940 is an apocalyptic number.

33272940 is a gapful number since it is divisible by the number (30) 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 33272940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47070576).

33272940 is an abundant number, since it is smaller than the sum of its proper divisors (60868212).

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

33272940 is a wasteful number, since it uses less digits than its factorization.

33272940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5826 (or 5824 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 33272940 is about 5768.2701046328. The cubic root of 33272940 is about 321.6353136267.

The spelling of 33272940 in words is "thirty-three million, two hundred seventy-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1940 2910 5717 5820 11434 17151 22868 28585 34302 57170 68604 85755 114340 171510 343020 554549 1109098 1663647 2218196 2772745 3327294 5545490 6654588 8318235 11090980 16636470 33272940