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23434100320 = 255312152407
BaseRepresentation
bin10101110100110001…
…111111111001100000
32020111011101122021111
4111310301333321200
5340443112202240
614433202033104
71456501365121
oct256461777140
966434348244
1023434100320
119a35a36464
124660048794
132295cacb67
1411c440c048
159224ac1ea
hex574c7fe60

23434100320 has 72 divisors (see below), whose sum is σ = 57206952432. Its totient is φ = 9071205120.

The previous prime is 23434100317. The next prime is 23434100359. The reversal of 23434100320 is 2300143432.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 23434100291 and 23434100300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77557 + ... + 229963.

It is an arithmetic number, because the mean of its divisors is an integer number (794541006).

Almost surely, 223434100320 is an apocalyptic number.

23434100320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23434100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28603476216).

23434100320 is an abundant number, since it is smaller than the sum of its proper divisors (33772852112).

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

23434100320 is a wasteful number, since it uses less digits than its factorization.

23434100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152484 (or 152445 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 23434100320 its reverse (2300143432), we get a palindrome (25734243752).

The spelling of 23434100320 in words is "twenty-three billion, four hundred thirty-four million, one hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 961 992 1240 1922 2480 3844 4805 4960 7688 9610 15376 19220 30752 38440 76880 152407 153760 304814 609628 762035 1219256 1524070 2438512 3048140 4724617 4877024 6096280 9449234 12192560 18898468 23623085 24385120 37796936 47246170 75593872 94492340 146463127 151187744 188984680 292926254 377969360 585852508 732315635 755938720 1171705016 1464631270 2343410032 2929262540 4686820064 5858525080 11717050160 23434100320