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34016490 = 2335177411
BaseRepresentation
bin1000000111000…
…0110011101010
32101000012212000
42001300303222
532202011430
63213031430
7562064304
oct201606352
971005760
1034016490
1118224102
12b485576
137080201
144736974
152ebde60
hex2070cea

34016490 has 64 divisors (see below), whose sum is σ = 96059520. Its totient is φ = 8536320.

The previous prime is 34016459. The next prime is 34016519. The reversal of 34016490 is 9461043.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 885 + ... + 8295.

It is an arithmetic number, because the mean of its divisors is an integer number (1500930).

Almost surely, 234016490 is an apocalyptic number.

34016490 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 34016490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48029760).

34016490 is an abundant number, since it is smaller than the sum of its proper divisors (62043030).

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

34016490 is a wasteful number, since it uses less digits than its factorization.

34016490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7444 (or 7438 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 34016490 is about 5832.3657292732. The cubic root of 34016490 is about 324.0135453871.

The spelling of 34016490 in words is "thirty-four million, sixteen thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2295 4590 7411 14822 22233 37055 44466 66699 74110 111165 125987 133398 200097 222330 251974 333495 377961 400194 629935 666990 755922 1000485 1133883 1259870 1889805 2000970 2267766 3401649 3779610 5669415 6803298 11338830 17008245 34016490