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3224689104 = 2437132925457
BaseRepresentation
bin1100000000110100…
…1101100111010000
322022201211011211210
43000031031213100
523101010022404
61251552140120
7142624255650
oct30015154720
98281734753
103224689104
11140528671a
1275bb37640
133c5104380
142283b4360
1513d178689
hexc034d9d0

3224689104 has 160 divisors (see below), whose sum is σ = 10606821120. Its totient is φ = 821108736.

The previous prime is 3224689103. The next prime is 3224689109. The reversal of 3224689104 is 4019864223.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3224689103) 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 31 ways as a sum of consecutive naturals, for example, 113944 + ... + 139400.

It is an arithmetic number, because the mean of its divisors is an integer number (66292632).

Almost surely, 23224689104 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 3224689104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5303410560).

3224689104 is an abundant number, since it is smaller than the sum of its proper divisors (7382132016).

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

3224689104 is a wasteful number, since it uses less digits than its factorization.

3224689104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25517 (or 25511 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 3224689104 is about 56786.3461053799. The cubic root of 3224689104 is about 1477.3927043227.

The spelling of 3224689104 in words is "three billion, two hundred twenty-four million, six hundred eighty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 29 39 42 48 52 56 58 78 84 87 91 104 112 116 156 168 174 182 203 208 232 273 312 336 348 364 377 406 464 546 609 624 696 728 754 812 1092 1131 1218 1392 1456 1508 1624 2184 2262 2436 2639 3016 3248 4368 4524 4872 5278 6032 7917 9048 9744 10556 15834 18096 21112 25457 31668 42224 50914 63336 76371 101828 126672 152742 178199 203656 305484 330941 356398 407312 534597 610968 661882 712796 738253 992823 1069194 1221936 1323764 1425592 1476506 1985646 2138388 2214759 2316587 2647528 2851184 2953012 3971292 4276776 4429518 4633174 5167771 5295056 5906024 6949761 7942584 8553552 8859036 9266348 9597289 10335542 11812048 13899522 15503313 15885168 17718072 18532696 19194578 20671084 27799044 28791867 31006626 35436144 37065392 38389156 41342168 55598088 57583734 62013252 67181023 76778312 82684336 111196176 115167468 124026504 134362046 153556624 201543069 230334936 248053008 268724092 403086138 460669872 537448184 806172276 1074896368 1612344552 3224689104