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34494660 = 22345107199
BaseRepresentation
bin1000001110010…
…1100011000100
32101220111210000
42003211203010
532312312120
63231201300
7566125344
oct203454304
971814700
1034494660
1118520392
12b676230
1371b9a55
14481cd24
153065990
hex20e58c4

34494660 has 120 divisors (see below), whose sum is σ = 109771200. Its totient is φ = 9066816.

The previous prime is 34494611. The next prime is 34494673. The reversal of 34494660 is 6649443.

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, 173241 + ... + 173439.

It is an arithmetic number, because the mean of its divisors is an integer number (914760).

Almost surely, 234494660 is an apocalyptic number.

34494660 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 34494660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54885600).

34494660 is an abundant number, since it is smaller than the sum of its proper divisors (75276540).

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

34494660 is a wasteful number, since it uses less digits than its factorization.

34494660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 34494660 is about 5873.2154736567. The cubic root of 34494660 is about 325.5247066553.

The spelling of 34494660 in words is "thirty-four million, four hundred ninety-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 107 108 135 162 180 199 214 270 321 324 398 405 428 535 540 597 642 796 810 963 995 1070 1194 1284 1605 1620 1791 1926 1990 2140 2388 2889 2985 3210 3582 3852 3980 4815 5373 5778 5970 6420 7164 8667 8955 9630 10746 11556 11940 14445 16119 17334 17910 19260 21293 21492 26865 28890 32238 34668 35820 42586 43335 53730 57780 63879 64476 80595 85172 86670 106465 107460 127758 161190 173340 191637 212930 255516 319395 322380 383274 425860 574911 638790 766548 958185 1149822 1277580 1724733 1916370 2299644 2874555 3449466 3832740 5749110 6898932 8623665 11498220 17247330 34494660