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412330400304 = 243197322327773
BaseRepresentation
bin1100000000000001100…
…11101001101000110000
31110102022000101121100120
412000000303221220300
523223423040302204
6513231051250240
741534634400644
oct6000063515060
91412260347316
10412330400304
11149960841679
1267ab4749980
132cb62085bb4
1415d57a28c24
15aad41806d9
hex6000ce9a30

412330400304 has 160 divisors (see below), whose sum is σ = 1141746923520. Its totient is φ = 127845402624.

The previous prime is 412330400267. The next prime is 412330400329. The reversal of 412330400304 is 403004033214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 14832562 + ... + 14860334.

It is an arithmetic number, because the mean of its divisors is an integer number (7135918272).

Almost surely, 2412330400304 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 412330400304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570873461760).

412330400304 is an abundant number, since it is smaller than the sum of its proper divisors (729416523216).

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

412330400304 is a wasteful number, since it uses less digits than its factorization.

412330400304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28099 (or 28093 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 412330400304 its reverse (403004033214), we get a palindrome (815334433518).

The spelling of 412330400304 in words is "four hundred twelve billion, three hundred thirty million, four hundred thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 73 76 114 146 152 219 223 228 292 304 438 446 456 584 669 876 892 912 1168 1338 1387 1752 1784 2676 2774 3504 3568 4161 4237 5352 5548 8322 8474 10704 11096 12711 16279 16644 16948 22192 25422 27773 32558 33288 33896 48837 50844 55546 65116 66576 67792 83319 97674 101688 111092 130232 166638 195348 203376 222184 260464 309301 333276 390696 444368 527687 618602 666552 781392 927903 1055374 1237204 1333104 1583061 1855806 2027429 2110748 2474408 3166122 3711612 4054858 4221496 4948816 6082287 6193379 6332244 7423224 8109716 8442992 12164574 12386758 12664488 14846448 16219432 18580137 24329148 24773516 25328976 32438864 37160274 38521151 48658296 49547032 74320548 77042302 97316592 99094064 115563453 117674201 148641096 154084604 231126906 235348402 297282192 308169208 353022603 452116667 462253812 470696804 616338416 706045206 904233334 924507624 941393608 1356350001 1412090412 1808466668 1849015248 1882787216 2712700002 2824180824 3616933336 5425400004 5648361648 7233866672 8590216673 10850800008 17180433346 21701600016 25770650019 34360866692 51541300038 68721733384 103082600076 137443466768 206165200152 412330400304