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34920024 = 2331976579
BaseRepresentation
bin1000010100110…
…1011001011000
32102201010021020
42011031121120
532414420044
63244242440
7602546436
oct205153130
972633236
1034920024
1118790a27
12b840420
137308549
1448cdd56
1530eba19
hex214d658

34920024 has 32 divisors (see below), whose sum is σ = 91896000. Its totient is φ = 11027232.

The previous prime is 34919993. The next prime is 34920029. The reversal of 34920024 is 42002943.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 34919976 and 34920003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34920029) 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 7 ways as a sum of consecutive naturals, for example, 37834 + ... + 38745.

It is an arithmetic number, because the mean of its divisors is an integer number (2871750).

Almost surely, 234920024 is an apocalyptic number.

It is an amenable number.

34920024 is an abundant number, since it is smaller than the sum of its proper divisors (56975976).

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

34920024 is a wasteful number, since it uses less digits than its factorization.

34920024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76607 (or 76603 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 34920024 is about 5909.3167117696. The cubic root of 34920024 is about 326.8572916739.

Adding to 34920024 its reverse (42002943), we get a palindrome (76922967).

The spelling of 34920024 in words is "thirty-four million, nine hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 76579 153158 229737 306316 459474 612632 918948 1455001 1837896 2910002 4365003 5820004 8730006 11640008 17460012 34920024