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331736104 = 23729359569
BaseRepresentation
bin10011110001011…
…110010000101000
3212010012221101101
4103301132100220
51134411023404
652530131144
711135465440
oct2361362050
9763187341
10331736104
11160290277
1293120ab4
135396006b
14320b5120
151e1cc2a4
hex13c5e428

331736104 has 64 divisors (see below), whose sum is σ = 738720000. Its totient is φ = 136647168.

The previous prime is 331736101. The next prime is 331736123. The reversal of 331736104 is 401637133.

It is a happy number.

It is a super-2 number, since 2×3317361042 = 220097685394197632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (331736101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582732 + ... + 583300.

It is an arithmetic number, because the mean of its divisors is an integer number (11542500).

Almost surely, 2331736104 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 331736104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369360000).

331736104 is an abundant number, since it is smaller than the sum of its proper divisors (406983896).

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

331736104 is a wasteful number, since it uses less digits than its factorization.

331736104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 331736104 is about 18213.6241314023. The cubic root of 331736104 is about 692.2520437980.

The spelling of 331736104 in words is "three hundred thirty-one million, seven hundred thirty-six thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 359 406 569 718 812 1138 1436 1624 2276 2513 2872 3983 4552 5026 7966 10052 10411 15932 16501 20104 20822 31864 33002 41644 66004 72877 83288 115507 132008 145754 204271 231014 291508 408542 462028 583016 817084 924056 1429897 1634168 2859794 5719588 5923859 11439176 11847718 23695436 41467013 47390872 82934026 165868052 331736104