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34232680 = 23519311453
BaseRepresentation
bin1000001010010…
…1100101101000
32101102012102001
42002211211220
532230421210
63221420344
7563654506
oct202454550
971365361
1034232680
1118361579
12b56a6b4
137127731
144791676
15301303a
hex20a5968

34232680 has 64 divisors (see below), whose sum is σ = 83750400. Its totient is φ = 12545280.

The previous prime is 34232669. The next prime is 34232683. The reversal of 34232680 is 8623243.

It is not an unprimeable number, because it can be changed into a prime (34232683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22834 + ... + 24286.

It is an arithmetic number, because the mean of its divisors is an integer number (1308600).

Almost surely, 234232680 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 34232680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41875200).

34232680 is an abundant number, since it is smaller than the sum of its proper divisors (49517720).

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

34232680 is a wasteful number, since it uses less digits than its factorization.

34232680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 34232680 is about 5850.8700207747. The cubic root of 34232680 is about 324.6985133114.

The spelling of 34232680 in words is "thirty-four million, two hundred thirty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 31 38 40 62 76 95 124 152 155 190 248 310 380 589 620 760 1178 1240 1453 2356 2906 2945 4712 5812 5890 7265 11624 11780 14530 23560 27607 29060 45043 55214 58120 90086 110428 138035 180172 220856 225215 276070 360344 450430 552140 855817 900860 1104280 1711634 1801720 3423268 4279085 6846536 8558170 17116340 34232680