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30349296 = 2433163431
BaseRepresentation
bin111001111000…
…1011111110000
32010002220102000
41303301133300
530232134141
63002254000
7515651625
oct163613760
963086360
1030349296
111614996a
12a1b7300
136397c83
14406034c
1529e75b6
hex1cf17f0

30349296 has 80 divisors (see below), whose sum is σ = 87851520. Its totient is φ = 10031040.

The previous prime is 30349273. The next prime is 30349309. The reversal of 30349296 is 69294303.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 30349296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70201 + ... + 70631.

It is an arithmetic number, because the mean of its divisors is an integer number (1098144).

Almost surely, 230349296 is an apocalyptic number.

30349296 is a gapful number since it is divisible by the number (36) 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 30349296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43925760).

30349296 is an abundant number, since it is smaller than the sum of its proper divisors (57502224).

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

30349296 is a wasteful number, since it uses less digits than its factorization.

30349296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 30349296 is about 5509.0195134888. The cubic root of 30349296 is about 311.9245379628.

The spelling of 30349296 in words is "thirty million, three hundred forty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 163 216 326 431 432 489 652 862 978 1293 1304 1467 1724 1956 2586 2608 2934 3448 3879 3912 4401 5172 5868 6896 7758 7824 8802 10344 11637 11736 15516 17604 20688 23274 23472 31032 35208 46548 62064 70253 70416 93096 140506 186192 210759 281012 421518 562024 632277 843036 1124048 1264554 1686072 1896831 2529108 3372144 3793662 5058216 7587324 10116432 15174648 30349296