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334031230032 = 24389227344453
BaseRepresentation
bin1001101110001011101…
…00000001010001010000
31011221012012200122010020
410313011310001101100
520433043443330112
6413241332303440
733063414415413
oct4670564012120
91157165618106
10334031230032
11119730a150a5
12548a2471b80
132566442b206
141224ab0db7a
158a5017b48c
hex4dc5d01450

334031230032 has 80 divisors (see below), whose sum is σ = 876456313920. Its totient is φ = 109607382016.

The previous prime is 334031230031. The next prime is 334031230037. The reversal of 334031230032 is 230032130433.

It is a happy number.

It is a super-2 number, since 2×3340312300322 (a number of 24 digits) contains 22 as substring.

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 = 334031229984 and 334031230011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334031230031) 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, 797518 + ... + 1141970.

It is an arithmetic number, because the mean of its divisors is an integer number (10955703924).

Almost surely, 2334031230032 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 334031230032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438228156960).

334031230032 is an abundant number, since it is smaller than the sum of its proper divisors (542425083888).

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

334031230032 is a wasteful number, since it uses less digits than its factorization.

334031230032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344780 (or 344774 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 334031230032 its reverse (230032130433), we get a palindrome (564063360465).

The spelling of 334031230032 in words is "three hundred thirty-four billion, thirty-one million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 227 267 356 454 534 681 712 908 1068 1362 1424 1816 2136 2724 3632 4272 5448 10896 20203 40406 60609 80812 121218 161624 242436 323248 344453 484872 688906 969744 1033359 1377812 2066718 2755624 4133436 5511248 8266872 16533744 30656317 61312634 78190831 91968951 122625268 156381662 183937902 234572493 245250536 312763324 367875804 469144986 490501072 625526648 735751608 938289972 1251053296 1471503216 1876579944 3753159888 6958983959 13917967918 20876951877 27835935836 41753903754 55671871672 83507807508 111343743344 167015615016 334031230032