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331167042 = 23489103223
BaseRepresentation
bin10011101111010…
…011010101000010
3212002011000210000
4103233103111002
51134234321132
652510020430
711130605403
oct2357232502
9762130700
10331167042
1115aa31778
1292aa7716
13537c103b
1431da79aa
151e11887c
hex13bd3542

331167042 has 80 divisors (see below), whose sum is σ = 761080320. Its totient is φ = 107604288.

The previous prime is 331167013. The next prime is 331167077. The reversal of 331167042 is 240761133.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 331166997 and 331167015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1484943 + ... + 1485165.

It is an arithmetic number, because the mean of its divisors is an integer number (9513504).

Almost surely, 2331167042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331167042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380540160).

331167042 is an abundant number, since it is smaller than the sum of its proper divisors (429913278).

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

331167042 is a wasteful number, since it uses less digits than its factorization.

331167042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 331167042 is about 18197.9955489609. The cubic root of 331167042 is about 691.8559862138.

The spelling of 331167042 in words is "three hundred thirty-one million, one hundred sixty-seven thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 89 103 162 178 206 223 267 309 446 534 618 669 801 927 1338 1602 1854 2007 2403 2781 4014 4806 5562 6021 7209 8343 9167 12042 14418 16686 18063 18334 19847 22969 27501 36126 39694 45938 55002 59541 68907 82503 119082 137814 165006 178623 206721 247509 357246 413442 495018 535869 620163 742527 1071738 1240326 1485054 1607607 1860489 2044241 3215214 3720978 4088482 6132723 12265446 18398169 36796338 55194507 110389014 165583521 331167042