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34280650432 = 267431177539
BaseRepresentation
bin11111111011010010…
…010011011011000000
310021111002002110211201
4133323102103123000
51030201321303212
623425345150544
72322335502160
oct377322233300
9107432073751
1034280650432
11135a1596066
12678862b454
13330419b252
141932b765a0
15d59839b57
hex7fb4936c0

34280650432 has 56 divisors (see below), whose sum is σ = 77924436480. Its totient is φ = 14657537280.

The previous prime is 34280650409. The next prime is 34280650471. The reversal of 34280650432 is 23405608243.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 34280650391 and 34280650400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104319 + ... + 281857.

Almost surely, 234280650432 is an apocalyptic number.

34280650432 is a gapful number since it is divisible by the number (32) 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 34280650432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38962218240).

34280650432 is an abundant number, since it is smaller than the sum of its proper divisors (43643786048).

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

34280650432 is a wasteful number, since it uses less digits than its factorization.

34280650432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177989 (or 177979 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 34280650432 in words is "thirty-four billion, two hundred eighty million, six hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 431 448 862 1724 3017 3448 6034 6896 12068 13792 24136 27584 48272 96544 177539 193088 355078 710156 1242773 1420312 2485546 2840624 4971092 5681248 9942184 11362496 19884368 39768736 76519309 79537472 153038618 306077236 535635163 612154472 1071270326 1224308944 2142540652 2448617888 4285081304 4897235776 8570162608 17140325216 34280650432