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34254080 = 28573823
BaseRepresentation
bin1000001010101…
…0110100000000
32101110021202122
42002222310000
532232112310
63222103412
7564104060
oct202526400
971407678
1034254080
1118376663
12b57ab68
1371343b3
1447993a0
153019555
hex20aad00

34254080 has 72 divisors (see below), whose sum is σ = 93795072. Its totient is φ = 11741184.

The previous prime is 34254079. The next prime is 34254091. The reversal of 34254080 is 8045243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7049 + ... + 10871.

Almost surely, 234254080 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 34254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46897536).

34254080 is an abundant number, since it is smaller than the sum of its proper divisors (59540992).

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

34254080 is an equidigital number, since it uses as much as digits as its factorization.

34254080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3851 (or 3837 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 34254080 is about 5852.6985229038. The cubic root of 34254080 is about 324.7661592057.

The spelling of 34254080 in words is "thirty-four million, two hundred fifty-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 3823 4480 7646 8960 15292 19115 26761 30584 38230 53522 61168 76460 107044 122336 133805 152920 214088 244672 267610 305840 428176 489344 535220 611680 856352 978688 1070440 1223360 1712704 2140880 2446720 3425408 4281760 4893440 6850816 8563520 17127040 34254080