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1304400570 = 2351122912391
BaseRepresentation
bin100110110111111…
…1001001010111010
310100220110102012020
41031233321022322
510132411304240
6333233455310
744216136054
oct11557711272
93326412166
101304400570
1160a333500
12304a11536
1317a318c75
14c53488d4
15797ae0d0
hex4dbf92ba

1304400570 has 96 divisors (see below), whose sum is σ = 3559973760. Its totient is φ = 305289600.

The previous prime is 1304400473. The next prime is 1304400607. The reversal of 1304400570 is 750044031.

It is a self number, because there is not a number n which added to its sum of digits gives 1304400570.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99075 + ... + 111465.

It is an arithmetic number, because the mean of its divisors is an integer number (37083060).

Almost surely, 21304400570 is an apocalyptic number.

1304400570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304400570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779986880).

1304400570 is an abundant number, since it is smaller than the sum of its proper divisors (2255573190).

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

1304400570 is a wasteful number, since it uses less digits than its factorization.

1304400570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12452 (or 12441 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 1304400570 is about 36116.4861247603. The cubic root of 1304400570 is about 1092.6229706913.

The spelling of 1304400570 in words is "one billion, three hundred four million, four hundred thousand, five hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 121 145 165 174 242 290 319 330 363 435 605 638 726 870 957 1210 1595 1815 1914 3190 3509 3630 4785 7018 9570 10527 12391 17545 21054 24782 35090 37173 52635 61955 74346 105270 123910 136301 185865 272602 359339 371730 408903 681505 718678 817806 1078017 1363010 1499311 1796695 2044515 2156034 2998622 3593390 3952729 4089030 4497933 5390085 7496555 7905458 8995866 10780170 11858187 14993110 19763645 22489665 23716374 39527290 43480019 44979330 59290935 86960038 118581870 130440057 217400095 260880114 434800190 652200285 1304400570