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33740772 = 22313316977
BaseRepresentation
bin1000000010110…
…1011111100100
32100111012122020
42000231133210
532114201042
63203103140
7556535412
oct200553744
970435566
1033740772
1118055a3a
12b371ab0
136cb4870
1446a42b2
152e673ec
hex202d7e4

33740772 has 48 divisors (see below), whose sum is σ = 87532032. Its totient is φ = 10045440.

The previous prime is 33740719. The next prime is 33740809. The reversal of 33740772 is 27704733.

It is a super-2 number, since 2×337407722 = 2276879390311968, which contains 22 as substring.

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, 1348 + ... + 8324.

It is an arithmetic number, because the mean of its divisors is an integer number (1823584).

Almost surely, 233740772 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 33740772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43766016).

33740772 is an abundant number, since it is smaller than the sum of its proper divisors (53791260).

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

33740772 is a wasteful number, since it uses less digits than its factorization.

33740772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7028 (or 7026 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 33.

The square root of 33740772 is about 5808.6807452295. The cubic root of 33740772 is about 323.1357473039.

The spelling of 33740772 in words is "thirty-three million, seven hundred forty thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 806 1209 1612 2418 4836 6977 13954 20931 27908 41862 83724 90701 181402 216287 272103 362804 432574 544206 648861 865148 1088412 1297722 2595444 2811731 5623462 8435193 11246924 16870386 33740772