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34945740 = 22325232367
BaseRepresentation
bin1000010101001…
…1101011001100
32102202102112200
42011103223030
532421230430
63245001500
7603014424
oct205235314
972672480
1034945740
11187a9285
12b853290
13731716b
1448d9484
153104460
hex2153acc

34945740 has 108 divisors (see below), whose sum is σ = 111113184. Its totient is φ = 8889408.

The previous prime is 34945681. The next prime is 34945747. The reversal of 34945740 is 4754943.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34945695 and 34945704.

It is not an unprimeable number, because it can be changed into a prime (34945747) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95037 + ... + 95403.

It is a vampire number, since it can be written as 44047935 (with its own digits).

Almost surely, 234945740 is an apocalyptic number.

34945740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34945740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55556592).

34945740 is an abundant number, since it is smaller than the sum of its proper divisors (76167444).

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

34945740 is a wasteful number, since it uses less digits than its factorization.

34945740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 34945740 is about 5911.4921974067. The cubic root of 34945740 is about 326.9375073464.

The spelling of 34945740 in words is "thirty-four million, nine hundred forty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 367 414 460 529 690 734 828 1035 1058 1101 1380 1468 1587 1835 2070 2116 2202 2645 3174 3303 3670 4140 4404 4761 5290 5505 6348 6606 7340 7935 8441 9522 10580 11010 13212 15870 16515 16882 19044 22020 23805 25323 31740 33030 33764 42205 47610 50646 66060 75969 84410 95220 101292 126615 151938 168820 194143 253230 303876 379845 388286 506460 582429 759690 776572 970715 1164858 1519380 1747287 1941430 2329716 2912145 3494574 3882860 5824290 6989148 8736435 11648580 17472870 34945740