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33740740 = 225111031489
BaseRepresentation
bin1000000010110…
…1011111000100
32100111012121001
42000231133010
532114200430
63203103044
7556535335
oct200553704
970435531
1033740740
1118055a10
12b371a84
136cb4847
1446a428c
152e673ca
hex202d7c4

33740740 has 48 divisors (see below), whose sum is σ = 78099840. Its totient is φ = 12142080.

The previous prime is 33740719. The next prime is 33740809. The reversal of 33740740 is 4704733.

It is a super-2 number, since 2×337407402 = 2276875071495200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33740699 and 33740708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21916 + ... + 23404.

It is an arithmetic number, because the mean of its divisors is an integer number (1627080).

Almost surely, 233740740 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 33740740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39049920).

33740740 is an abundant number, since it is smaller than the sum of its proper divisors (44359100).

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

33740740 is a wasteful number, since it uses less digits than its factorization.

33740740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 28.

The square root of 33740740 is about 5808.6779907308. The cubic root of 33740740 is about 323.1356451491.

The spelling of 33740740 in words is "thirty-three million, seven hundred forty thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 206 220 412 515 1030 1133 1489 2060 2266 2978 4532 5665 5956 7445 11330 14890 16379 22660 29780 32758 65516 81895 153367 163790 306734 327580 613468 766835 1533670 1687037 3067340 3374074 6748148 8435185 16870370 33740740