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34642380 = 22351095297
BaseRepresentation
bin1000010000100…
…1100111001100
32102012000102010
42010021213030
532332024010
63234301220
7600312123
oct204114714
972160363
1034642380
1118611373
12b727810
13723c066
14485aaba
153094620
hex21099cc

34642380 has 48 divisors (see below), whose sum is σ = 97907040. Its totient is φ = 9151488.

The previous prime is 34642357. The next prime is 34642409. The reversal of 34642380 is 8324643.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3892 + ... + 9188.

It is an arithmetic number, because the mean of its divisors is an integer number (2039730).

Almost surely, 234642380 is an apocalyptic number.

34642380 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 34642380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48953520).

34642380 is an abundant number, since it is smaller than the sum of its proper divisors (63264660).

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

34642380 is a wasteful number, since it uses less digits than its factorization.

34642380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5418 (or 5416 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 34642380 is about 5885.7777735827. Note that the first 5 decimals coincide. The cubic root of 34642380 is about 325.9887208011.

The spelling of 34642380 in words is "thirty-four million, six hundred forty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 1090 1308 1635 2180 3270 5297 6540 10594 15891 21188 26485 31782 52970 63564 79455 105940 158910 317820 577373 1154746 1732119 2309492 2886865 3464238 5773730 6928476 8660595 11547460 17321190 34642380