Search a number
-
+
34747380 = 2234589241
BaseRepresentation
bin1000010010001…
…1001111110100
32102101100110000
42010203033310
532343404010
63240431300
7601230213
oct204431764
972340400
1034747380
1118683248
12b778530
137277aa5
14488707a
1530b57c0
hex21233f4

34747380 has 120 divisors (see below), whose sum is σ = 110685960. Its totient is φ = 9123840.

The previous prime is 34747379. The next prime is 34747393. The reversal of 34747380 is 8374743.

It can be written as a sum of positive squares in 4 ways, for example, as 2802276 + 31945104 = 1674^2 + 5652^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 144060 + ... + 144300.

It is an arithmetic number, because the mean of its divisors is an integer number (922383).

Almost surely, 234747380 is an apocalyptic number.

34747380 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 34747380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55342980).

34747380 is an abundant number, since it is smaller than the sum of its proper divisors (75938580).

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

34747380 is a wasteful number, since it uses less digits than its factorization.

34747380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 34747380 is about 5894.6908315874. The cubic root of 34747380 is about 326.3177425719.

The spelling of 34747380 in words is "thirty-four million, seven hundred forty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 89 90 108 135 162 178 180 241 267 270 324 356 405 445 482 534 540 723 801 810 890 964 1068 1205 1335 1446 1602 1620 1780 2169 2403 2410 2670 2892 3204 3615 4005 4338 4806 4820 5340 6507 7209 7230 8010 8676 9612 10845 12015 13014 14418 14460 16020 19521 21449 21690 24030 26028 28836 32535 36045 39042 42898 43380 48060 64347 65070 72090 78084 85796 97605 107245 128694 130140 144180 193041 195210 214490 257388 321735 386082 390420 428980 579123 643470 772164 965205 1158246 1286940 1737369 1930410 2316492 2895615 3474738 3860820 5791230 6949476 8686845 11582460 17373690 34747380