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34232464 = 2472397137
BaseRepresentation
bin1000001010010…
…1100010010000
32101102012010001
42002211202100
532230414324
63221415344
7563654050
oct202454220
971365101
1034232464
11183613a2
12b56a554
1371275c6
144791560
153012e44
hex20a5890

34232464 has 80 divisors (see below), whose sum is σ = 80494848. Its totient is φ = 13787136.

The previous prime is 34232461. The next prime is 34232467. The reversal of 34232464 is 46423243.

It is an interprime number because it is at equal distance from previous prime (34232461) and next prime (34232467).

It is a super-2 number, since 2×342324642 = 2343723183022592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (34232461) 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, 249804 + ... + 249940.

Almost surely, 234232464 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 34232464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40247424).

34232464 is an abundant number, since it is smaller than the sum of its proper divisors (46262384).

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

34232464 is a wasteful number, since it uses less digits than its factorization.

34232464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 266 counting only the distinct ones).

The product of its digits is 13824, while the sum is 28.

The square root of 34232464 is about 5850.8515619523. The cubic root of 34232464 is about 324.6978303867.

The spelling of 34232464 in words is "thirty-four million, two hundred thirty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 97 112 137 161 184 194 274 322 368 388 548 644 679 776 959 1096 1288 1358 1552 1918 2192 2231 2576 2716 3151 3836 4462 5432 6302 7672 8924 10864 12604 13289 15344 15617 17848 22057 25208 26578 31234 35696 44114 50416 53156 62468 88228 93023 106312 124936 176456 186046 212624 249872 305647 352912 372092 611294 744184 1222588 1488368 2139529 2445176 4279058 4890352 8558116 17116232 34232464