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34023220 = 22571122093
BaseRepresentation
bin1000000111001…
…0011100110100
32101000120002021
42001302130310
532202220340
63213122524
7562123030
oct201623464
971016067
1034023220
1118229170
12b489444
1370832aa
1447391c0
152ec0e4a
hex2072734

34023220 has 48 divisors (see below), whose sum is σ = 89083008. Its totient is φ = 10604160.

The previous prime is 34023179. The next prime is 34023221. The reversal of 34023220 is 2232043.

34023220 = T461 + T462 + ... + T670.

It is a junction number, because it is equal to n+sod(n) for n = 34023194 and 34023203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34023221) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9507 + ... + 12586.

It is an arithmetic number, because the mean of its divisors is an integer number (1855896).

Almost surely, 234023220 is an apocalyptic number.

It is an amenable number.

34023220 is an abundant number, since it is smaller than the sum of its proper divisors (55059788).

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

34023220 is a wasteful number, since it uses less digits than its factorization.

34023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22120 (or 22118 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 34023220 is about 5832.9426535840. The cubic root of 34023220 is about 324.0349121552.

Adding to 34023220 its reverse (2232043), we get a palindrome (36255263).

It can be divided in two parts, 34023 and 220, that added together give a palindrome (34243).

The spelling of 34023220 in words is "thirty-four million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 22093 44186 88372 110465 154651 220930 243023 309302 441860 486046 618604 773255 972092 1215115 1546510 1701161 2430230 3093020 3402322 4860460 6804644 8505805 17011610 34023220