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34099380 = 2234573197
BaseRepresentation
bin1000001000010…
…1000010110100
32101011102120000
42002011002310
532212140010
63214511300
7562561050
oct202050264
971142500
1034099380
1118280407
12b505530
1370abb63
144758c60
152ed87c0
hex20850b4

34099380 has 240 divisors, whose sum is σ = 127497216. Its totient is φ = 7464960.

The previous prime is 34099379. The next prime is 34099381. The reversal of 34099380 is 8399043.

It is an interprime number because it is at equal distance from previous prime (34099379) and next prime (34099381).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34099381) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 351492 + ... + 351588.

Almost surely, 234099380 is an apocalyptic number.

34099380 is a gapful number since it is divisible by the number (30) 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 34099380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63748608).

34099380 is an abundant number, since it is smaller than the sum of its proper divisors (93397836).

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

34099380 is a wasteful number, since it uses less digits than its factorization.

34099380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 34099380 is about 5839.4674414710. The cubic root of 34099380 is about 324.2765129183.

The spelling of 34099380 in words is "thirty-four million, ninety-nine thousand, three hundred eighty".