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34465830 = 2357414003
BaseRepresentation
bin1000001101111…
…0100000100110
32101212001020020
42003132200212
532310401310
63230420010
7565645320
oct203364046
971761206
1034465830
1118500763
12b661606
1371a98a9
144812610
15305c170
hex20de826

34465830 has 64 divisors (see below), whose sum is σ = 96864768. Its totient is φ = 7683840.

The previous prime is 34465819. The next prime is 34465841. The reversal of 34465830 is 3856443.

It is an interprime number because it is at equal distance from previous prime (34465819) and next prime (34465841).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34465791 and 34465800.

It is a congruent number.

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, 6609 + ... + 10611.

It is an arithmetic number, because the mean of its divisors is an integer number (1513512).

Almost surely, 234465830 is an apocalyptic number.

34465830 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 34465830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48432384).

34465830 is an abundant number, since it is smaller than the sum of its proper divisors (62398938).

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

34465830 is a wasteful number, since it uses less digits than its factorization.

34465830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4061.

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 34465830 is about 5870.7605980827. The cubic root of 34465830 is about 325.4339921981.

The spelling of 34465830 in words is "thirty-four million, four hundred sixty-five thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 287 410 574 615 861 1230 1435 1722 2870 4003 4305 8006 8610 12009 20015 24018 28021 40030 56042 60045 84063 120090 140105 164123 168126 280210 328246 420315 492369 820615 840630 984738 1148861 1641230 2297722 2461845 3446583 4923690 5744305 6893166 11488610 17232915 34465830