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30298840 = 23511135297
BaseRepresentation
bin111001110010…
…1001011011000
32010000100012021
41303211023120
530224030330
63001224224
7515351545
oct163451330
963010167
1030298840
1116114a70
12a192074
13637b010
144049bcc
1529d767a
hex1ce52d8

30298840 has 64 divisors (see below), whose sum is σ = 80105760. Its totient is φ = 10168320.

The previous prime is 30298817. The next prime is 30298867. The reversal of 30298840 is 4889203.

30298840 = T341 + T342 + ... + T604.

It is a junction number, because it is equal to n+sod(n) for n = 30298796 and 30298805.

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 15 ways as a sum of consecutive naturals, for example, 3072 + ... + 8368.

Almost surely, 230298840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30298840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40052880).

30298840 is an abundant number, since it is smaller than the sum of its proper divisors (49806920).

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

30298840 is a wasteful number, since it uses less digits than its factorization.

30298840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5332 (or 5328 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 30298840 is about 5504.4382092998. The cubic root of 30298840 is about 311.7515828874.

The spelling of 30298840 in words is "thirty million, two hundred ninety-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 5297 5720 10594 21188 26485 42376 52970 58267 68861 105940 116534 137722 211880 233068 275444 291335 344305 466136 550888 582670 688610 757471 1165340 1377220 1514942 2330680 2754440 3029884 3787355 6059768 7574710 15149420 30298840