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34999380 = 223251314957
BaseRepresentation
bin1000010110000…
…0110001010100
32102212011010100
42011200301110
532424440010
63250054100
7603330003
oct205406124
972764110
1034999380
1118835609
12b87a330
1373356c0
144910c3a
1531152c0
hex2160c54

34999380 has 72 divisors (see below), whose sum is σ = 114338952. Its totient is φ = 8614656.

The previous prime is 34999369. The next prime is 34999381. The reversal of 34999380 is 8399943.

It can be written as a sum of positive squares in 4 ways, for example, as 324 + 34999056 = 18^2 + 5916^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34999381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5139 + ... + 9818.

It is an arithmetic number, because the mean of its divisors is an integer number (1588041).

Almost surely, 234999380 is an apocalyptic number.

34999380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34999380 is an abundant number, since it is smaller than the sum of its proper divisors (79339572).

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

34999380 is a wasteful number, since it uses less digits than its factorization.

34999380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14985 (or 14980 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 34999380 is about 5916.0273833038. The cubic root of 34999380 is about 327.1046995207.

The spelling of 34999380 in words is "thirty-four million, nine hundred ninety-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 14957 29914 44871 59828 74785 89742 134613 149570 179484 194441 224355 269226 299140 388882 448710 538452 583323 673065 777764 897420 972205 1166646 1346130 1749969 1944410 2333292 2692260 2916615 3499938 3888820 5833230 6999876 8749845 11666460 17499690 34999380