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34240470 = 235111943127
BaseRepresentation
bin1000001010011…
…1011111010110
32101102121002120
42002213133112
532231143340
63221520410
7564016305
oct202473726
971377076
1034240470
1118367410
12b573106
13712b144
14479443c
1530154d0
hex20a77d6

34240470 has 128 divisors (see below), whose sum is σ = 97320960. Its totient is φ = 7620480.

The previous prime is 34240439. The next prime is 34240471. The reversal of 34240470 is 7404243.

It is a self number, because there is not a number n which added to its sum of digits gives 34240470.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34240471) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269547 + ... + 269673.

It is an arithmetic number, because the mean of its divisors is an integer number (760320).

Almost surely, 234240470 is an apocalyptic number.

34240470 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34240470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48660480).

34240470 is an abundant number, since it is smaller than the sum of its proper divisors (63080490).

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

34240470 is a wasteful number, since it uses less digits than its factorization.

34240470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210.

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 34240470 is about 5851.5356958665. The cubic root of 34240470 is about 324.7231409438.

The spelling of 34240470 in words is "thirty-four million, two hundred forty thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 43 55 57 66 86 95 110 114 127 129 165 190 209 215 254 258 285 330 381 418 430 473 570 627 635 645 762 817 946 1045 1254 1270 1290 1397 1419 1634 1905 2090 2365 2413 2451 2794 2838 3135 3810 4085 4191 4730 4826 4902 5461 6270 6985 7095 7239 8170 8382 8987 10922 12065 12255 13970 14190 14478 16383 17974 20955 24130 24510 26543 26961 27305 32766 36195 41910 44935 53086 53922 54610 60071 72390 79629 81915 89870 103759 120142 132715 134805 159258 163830 180213 207518 265430 269610 300355 311277 360426 398145 518795 600710 622554 796290 901065 1037590 1141349 1556385 1802130 2282698 3112770 3424047 5706745 6848094 11413490 17120235 34240470