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34499430 = 2325727823
BaseRepresentation
bin1000001110011…
…0101101100110
32101220202022200
42003212231212
532312440210
63231235330
7566145300
oct203465546
971822280
1034499430
1118523a29
12b678b46
1371bbc84
144820970
1530670c0
hex20e6b66

34499430 has 72 divisors (see below), whose sum is σ = 104356512. Its totient is φ = 7884576.

The previous prime is 34499419. The next prime is 34499441. The reversal of 34499430 is 3499443.

34499430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34499419) and next prime (34499441).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 499 + ... + 8321.

It is an arithmetic number, because the mean of its divisors is an integer number (1449396).

Almost surely, 234499430 is an apocalyptic number.

34499430 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 34499430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52178256).

34499430 is an abundant number, since it is smaller than the sum of its proper divisors (69857082).

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

34499430 is a wasteful number, since it uses less digits than its factorization.

34499430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7850 (or 7840 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 34499430 is about 5873.6215404127. The cubic root of 34499430 is about 325.5397107292.

The spelling of 34499430 in words is "thirty-four million, four hundred ninety-nine thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 7823 15646 23469 39115 46938 54761 70407 78230 109522 117345 140814 164283 234690 273805 328566 352035 383327 492849 547610 704070 766654 821415 985698 1149981 1642830 1916635 2299962 2464245 3449943 3833270 4928490 5749905 6899886 11499810 17249715 34499430