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34219952 = 2413232311
BaseRepresentation
bin1000001010001…
…0011110110000
32101101112221122
42002202132300
532230014302
63221241412
7563602424
oct202423660
971345848
1034219952
1118352a58
12b563268
1371219c0
14478ab84
15300e3a2
hex20a27b0

34219952 has 60 divisors (see below), whose sum is σ = 74880624. Its totient is φ = 15058560.

The previous prime is 34219949. The next prime is 34219957. The reversal of 34219952 is 25991243.

It is a super-2 number, since 2×342199522 = 2342010229764608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34219957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109877 + ... + 110187.

Almost surely, 234219952 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 34219952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37440312).

34219952 is an abundant number, since it is smaller than the sum of its proper divisors (40660672).

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

34219952 is a wasteful number, since it uses less digits than its factorization.

34219952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 349 counting only the distinct ones).

The product of its digits is 19440, while the sum is 35.

The square root of 34219952 is about 5849.7822181685. The cubic root of 34219952 is about 324.6582664383.

The spelling of 34219952 in words is "thirty-four million, two hundred nineteen thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 311 368 529 598 622 1058 1196 1244 2116 2392 2488 4043 4232 4784 4976 6877 7153 8086 8464 13754 14306 16172 27508 28612 32344 55016 57224 64688 92989 110032 114448 164519 185978 329038 371956 658076 743912 1316152 1487824 2138747 2632304 4277494 8554988 17109976 34219952