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34133040 = 2432547407
BaseRepresentation
bin1000001000110…
…1010000110000
32101020010201200
42002031100300
532214224130
63215331200
7563061144
oct202152060
971203650
1034133040
11182a3727
12b520b00
1370c1286
144767224
152ee3760
hex208d430

34133040 has 60 divisors (see below), whose sum is σ = 114632544. Its totient is φ = 9101952.

The previous prime is 34133009. The next prime is 34133089. The reversal of 34133040 is 4033143.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22984 + ... + 24423.

Almost surely, 234133040 is an apocalyptic number.

34133040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34133040 is an abundant number, since it is smaller than the sum of its proper divisors (80499504).

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

34133040 is a wasteful number, since it uses less digits than its factorization.

34133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47426 (or 47417 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 34133040 is about 5842.3488427173. The cubic root of 34133040 is about 324.3831772026.

Adding to 34133040 its reverse (4033143), we get a palindrome (38166183).

The spelling of 34133040 in words is "thirty-four million, one hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 47407 94814 142221 189628 237035 284442 379256 426663 474070 568884 711105 758512 853326 948140 1137768 1422210 1706652 1896280 2133315 2275536 2844420 3413304 3792560 4266630 5688840 6826608 8533260 11377680 17066520 34133040