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33429340 = 2257238781
BaseRepresentation
bin111111110000…
…1011101011100
32022220101102201
41333201131130
532024214330
63152301244
7554100430
oct177413534
968811381
1033429340
1117962a5a
12b241824
136c05b99
1446229c0
152e04eca
hex1fe175c

33429340 has 24 divisors (see below), whose sum is σ = 80230752. Its totient is φ = 11461440.

The previous prime is 33429323. The next prime is 33429343. The reversal of 33429340 is 4392433.

It is a super-2 number, since 2×334293402 = 2235041545671200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 33429299 and 33429308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33429343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119251 + ... + 119530.

It is an arithmetic number, because the mean of its divisors is an integer number (3342948).

Almost surely, 233429340 is an apocalyptic number.

It is an amenable number.

33429340 is an abundant number, since it is smaller than the sum of its proper divisors (46801412).

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

33429340 is a wasteful number, since it uses less digits than its factorization.

33429340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238797 (or 238795 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 33429340 is about 5781.8111349300. The cubic root of 33429340 is about 322.1384767611.

The spelling of 33429340 in words is "thirty-three million, four hundred twenty-nine thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 238781 477562 955124 1193905 1671467 2387810 3342934 4775620 6685868 8357335 16714670 33429340