Search a number
-
+
323639680 = 2757135557
BaseRepresentation
bin10011010010100…
…101100110000000
3211112222121011211
4103102211212000
51130322432210
652040415504
711006614630
oct2322454600
9745877154
10323639680
11156760311
1290477594
1352086a90
1430da86c0
151d62d38a
hex134a5980

323639680 has 128 divisors (see below), whose sum is σ = 952418880. Its totient is φ = 102408192.

The previous prime is 323639669. The next prime is 323639683. The reversal of 323639680 is 86936323.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323639683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55462 + ... + 61018.

Almost surely, 2323639680 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 323639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476209440).

323639680 is an abundant number, since it is smaller than the sum of its proper divisors (628779200).

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

323639680 is a wasteful number, since it uses less digits than its factorization.

323639680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5596 (or 5584 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The square root of 323639680 is about 17989.9883268445. The cubic root of 323639680 is about 686.5738440317.

The spelling of 323639680 in words is "three hundred twenty-three million, six hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 640 728 832 896 910 1040 1120 1456 1664 1820 2080 2240 2912 3640 4160 4480 5557 5824 7280 8320 11114 11648 14560 22228 27785 29120 38899 44456 55570 58240 72241 77798 88912 111140 144482 155596 177824 194495 222280 288964 311192 355648 361205 388990 444560 505687 577928 622384 711296 722410 777980 889120 1011374 1155856 1244768 1444820 1555960 1778240 2022748 2311712 2489536 2528435 2889640 3111920 3556480 4045496 4623424 4979072 5056870 5779280 6223840 8090992 9246848 10113740 11558560 12447680 16181984 20227480 23117120 24895360 32363968 40454960 46234240 64727936 80909920 161819840 323639680