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34102440 = 23325432203
BaseRepresentation
bin1000001000010…
…1110010101000
32101011120202100
42002011302220
532212234230
63214533400
7562603011
oct202056250
971146670
1034102440
1118282739
12b507260
1370b0378
14475a008
152ed9660
hex2085ca8

34102440 has 96 divisors (see below), whose sum is σ = 113461920. Its totient is φ = 8878464.

The previous prime is 34102433. The next prime is 34102457. The reversal of 34102440 is 4420143.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14379 + ... + 16581.

It is an arithmetic number, because the mean of its divisors is an integer number (1181895).

Almost surely, 234102440 is an apocalyptic number.

34102440 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 34102440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56730960).

34102440 is an abundant number, since it is smaller than the sum of its proper divisors (79359480).

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

34102440 is a wasteful number, since it uses less digits than its factorization.

34102440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 34102440 is about 5839.7294457877. The cubic root of 34102440 is about 324.2862125712.

Adding to 34102440 its reverse (4420143), we get a palindrome (38522583).

The spelling of 34102440 in words is "thirty-four million, one hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 860 1032 1290 1548 1720 1935 2203 2580 3096 3870 4406 5160 6609 7740 8812 11015 13218 15480 17624 19827 22030 26436 33045 39654 44060 52872 66090 79308 88120 94729 99135 132180 158616 189458 198270 264360 284187 378916 396540 473645 568374 757832 793080 852561 947290 1136748 1420935 1705122 1894580 2273496 2841870 3410244 3789160 4262805 5683740 6820488 8525610 11367480 17051220 34102440