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34122024 = 23321924943
BaseRepresentation
bin1000001000101…
…0100100101000
32101012120121200
42002022210220
532213401044
63215204200
7563014056
oct202124450
971176550
1034122024
1118296422
12b516660
1370b9261
1447631d6
152ee0369
hex208a928

34122024 has 48 divisors (see below), whose sum is σ = 97281600. Its totient is φ = 10774944.

The previous prime is 34122019. The next prime is 34122031. The reversal of 34122024 is 42022143.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34121988 and 34122006.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11104 + ... + 13839.

It is an arithmetic number, because the mean of its divisors is an integer number (2026700).

Almost surely, 234122024 is an apocalyptic number.

It is an amenable number.

34122024 is an abundant number, since it is smaller than the sum of its proper divisors (63159576).

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

34122024 is a wasteful number, since it uses less digits than its factorization.

34122024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24974 (or 24967 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 34122024 is about 5841.4059951351. The cubic root of 34122024 is about 324.3482766139.

Adding to 34122024 its reverse (42022143), we get a palindrome (76144167).

The spelling of 34122024 in words is "thirty-four million, one hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 24943 49886 74829 99772 149658 199544 224487 299316 448974 473917 598632 897948 947834 1421751 1795896 1895668 2843502 3791336 4265253 5687004 8530506 11374008 17061012 34122024