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34830096 = 2437234507
BaseRepresentation
bin1000010011011…
…1011100010000
32102112112220120
42010313130100
532404030341
63242310240
7602023320
oct204673420
972475816
1034830096
111872a404
12b7b8380
1372a6632
1448a9280
1530d0066
hex2137710

34830096 has 80 divisors (see below), whose sum is σ = 107326464. Its totient is φ = 9516672.

The previous prime is 34830083. The next prime is 34830109. The reversal of 34830096 is 69003843.

It is an interprime number because it is at equal distance from previous prime (34830083) and next prime (34830109).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 5475 + ... + 9981.

Almost surely, 234830096 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 34830096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53663232).

34830096 is an abundant number, since it is smaller than the sum of its proper divisors (72496368).

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

34830096 is a wasteful number, since it uses less digits than its factorization.

34830096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4548 (or 4542 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 34830096 is about 5901.7028051233. The cubic root of 34830096 is about 326.5764700769.

The spelling of 34830096 in words is "thirty-four million, eight hundred thirty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 4507 7728 9014 13521 18028 27042 31549 36056 54084 63098 72112 94647 103661 108168 126196 189294 207322 216336 252392 310983 378588 414644 504784 621966 725627 757176 829288 1243932 1451254 1514352 1658576 2176881 2487864 2902508 4353762 4975728 5805016 8707524 11610032 17415048 34830096