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1304242380 = 2232571760889
BaseRepresentation
bin100110110111101…
…0010100011001100
310100220011101012100
41031233102203030
510132341224010
6333230235100
744214606630
oct11557224314
93326141170
101304242380
1160a235671
12304955a90
1317a291c6c
14c5306dc0
157977c2c0
hex4dbd28cc

1304242380 has 144 divisors (see below), whose sum is σ = 4787415360. Its totient is φ = 280571904.

The previous prime is 1304242351. The next prime is 1304242399. The reversal of 1304242380 is 832424031.

1304242380 is a `hidden beast` number, since 1 + 3 + 0 + 424 + 238 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9025 + ... + 51864.

It is an arithmetic number, because the mean of its divisors is an integer number (33245940).

Almost surely, 21304242380 is an apocalyptic number.

1304242380 is a gapful number since it is divisible by the number (10) 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 1304242380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393707680).

1304242380 is an abundant number, since it is smaller than the sum of its proper divisors (3483172980).

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

1304242380 is a wasteful number, since it uses less digits than its factorization.

1304242380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60928 (or 60923 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1304242380 is about 36114.2960612553. The cubic root of 1304242380 is about 1092.5787999513.

The spelling of 1304242380 in words is "one billion, three hundred four million, two hundred forty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2380 3060 3570 4284 5355 7140 10710 21420 60889 121778 182667 243556 304445 365334 426223 548001 608890 730668 852446 913335 1035113 1096002 1217780 1278669 1704892 1826670 2070226 2131115 2192004 2557338 2740005 3105339 3653340 3836007 4140452 4262230 5114676 5175565 5480010 6210678 6393345 7245791 7672014 8524460 9316017 10351130 10960020 12421356 12786690 14491582 15344028 15526695 18632034 19180035 20702260 21737373 25573380 28983164 31053390 36228955 37264068 38360070 43474746 46580085 62106780 65212119 72457910 76720140 86949492 93160170 108686865 130424238 144915820 186320340 217373730 260848476 326060595 434747460 652121190 1304242380