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334140504 = 233231733499
BaseRepresentation
bin10011111010101…
…001010001011000
3212021202002121020
4103322221101120
51141014444004
653053442440
711165101365
oct2372512130
9767662536
10334140504
11161682785
1293aa0420
13542c2599
143253d46c
151e5048d9
hex13ea9458

334140504 has 64 divisors (see below), whose sum is σ = 876960000. Its totient is φ = 105891456.

The previous prime is 334140503. The next prime is 334140509. The reversal of 334140504 is 405041433.

It is a super-2 number, since 2×3341405042 = 223299752826748032, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334140503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93747 + ... + 97245.

It is an arithmetic number, because the mean of its divisors is an integer number (13702500).

Almost surely, 2334140504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334140504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438480000).

334140504 is an abundant number, since it is smaller than the sum of its proper divisors (542819496).

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

334140504 is a wasteful number, since it uses less digits than its factorization.

334140504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3704 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 334140504 is about 18279.5104967283. The cubic root of 334140504 is about 693.9204840976.

Adding to 334140504 its reverse (405041433), we get a palindrome (739181937).

The spelling of 334140504 in words is "three hundred thirty-four million, one hundred forty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 173 184 276 346 519 552 692 1038 1384 2076 3499 3979 4152 6998 7958 10497 11937 13996 15916 20994 23874 27992 31832 41988 47748 80477 83976 95496 160954 241431 321908 482862 605327 643816 965724 1210654 1815981 1931448 2421308 3631962 4842616 7263924 13922521 14527848 27845042 41767563 55690084 83535126 111380168 167070252 334140504