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33740148 = 22313313691
BaseRepresentation
bin1000000010110…
…1010101110100
32100111011210010
42000231111310
532114141043
63203100220
7556533531
oct200552564
970434703
1033740148
1118055522
12b371670
136cb44b0
1446a3d88
152e67133
hex202d574

33740148 has 48 divisors (see below), whose sum is σ = 85176896. Its totient is φ = 10333440.

The previous prime is 33740131. The next prime is 33740159. The reversal of 33740148 is 84104733.

It is a super-2 number, since 2×337401482 = 2276795174123808, which contains 22 as substring.

It is a congruent number.

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, 48483 + ... + 49173.

Almost surely, 233740148 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 33740148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42588448).

33740148 is an abundant number, since it is smaller than the sum of its proper divisors (51436748).

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

33740148 is a wasteful number, since it uses less digits than its factorization.

33740148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 33740148 is about 5808.6270322685. The cubic root of 33740148 is about 323.1337552733.

The spelling of 33740148 in words is "thirty-three million, seven hundred forty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 313 626 691 939 1252 1382 1878 2073 2764 3756 4069 4146 8138 8292 8983 12207 16276 17966 24414 26949 35932 48828 53898 107796 216283 432566 648849 865132 1297698 2595396 2811679 5623358 8435037 11246716 16870074 33740148