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34468830 = 23251137941
BaseRepresentation
bin1000001101111…
…1001111011110
32101212012100100
42003133033132
532311000310
63230441530
7565660134
oct203371736
971765310
1034468830
1118502a40
12b6632a6
1371ab076
144813754
15305cec0
hex20df3de

34468830 has 96 divisors (see below), whose sum is σ = 100515168. Its totient is φ = 8121600.

The previous prime is 34468817. The next prime is 34468859. The reversal of 34468830 is 3886443.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36160 + ... + 37100.

It is an arithmetic number, because the mean of its divisors is an integer number (1047033).

Almost surely, 234468830 is an apocalyptic number.

34468830 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 34468830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50257584).

34468830 is an abundant number, since it is smaller than the sum of its proper divisors (66046338).

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

34468830 is a wasteful number, since it uses less digits than its factorization.

34468830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 34468830 is about 5871.0160960433. The cubic root of 34468830 is about 325.4434341454.

It can be divided in two parts, 34 and 468830, that added together give a palindrome (468864).

The spelling of 34468830 in words is "thirty-four million, four hundred sixty-eight thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 74 90 99 110 111 165 185 198 222 330 333 370 407 495 555 666 814 941 990 1110 1221 1665 1882 2035 2442 2823 3330 3663 4070 4705 5646 6105 7326 8469 9410 10351 12210 14115 16938 18315 20702 28230 31053 34817 36630 42345 51755 62106 69634 84690 93159 103510 104451 155265 174085 186318 208902 310530 313353 348170 382987 465795 522255 626706 765974 931590 1044510 1148961 1566765 1914935 2297922 3133530 3446883 3829870 5744805 6893766 11489610 17234415 34468830