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34248396 = 22371379397
BaseRepresentation
bin1000001010100…
…1011011001100
32101102222222010
42002221123030
532231422041
63222021220
7564051360
oct202513314
971388863
1034248396
1118372366
12b577810
137131930
1447972a0
153017a16
hex20a96cc

34248396 has 96 divisors (see below), whose sum is σ = 99850240. Its totient is φ = 8895744.

The previous prime is 34248371. The next prime is 34248443. The reversal of 34248396 is 69384243.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 86070 + ... + 86466.

Almost surely, 234248396 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 34248396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49925120).

34248396 is an abundant number, since it is smaller than the sum of its proper divisors (65601844).

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

34248396 is a wasteful number, since it uses less digits than its factorization.

34248396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 501 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 34248396 is about 5852.2129147870. The cubic root of 34248396 is about 324.7481946989.

The spelling of 34248396 in words is "thirty-four million, two hundred forty-eight thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 79 84 91 156 158 182 237 273 316 364 397 474 546 553 794 948 1027 1092 1106 1191 1588 1659 2054 2212 2382 2779 3081 3318 4108 4764 5161 5558 6162 6636 7189 8337 10322 11116 12324 14378 15483 16674 20644 21567 28756 30966 31363 33348 36127 43134 61932 62726 72254 86268 94089 108381 125452 144508 188178 216762 219541 376356 407719 433524 439082 658623 815438 878164 1223157 1317246 1630876 2446314 2634492 2854033 4892628 5708066 8562099 11416132 17124198 34248396