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1304031432 = 2331133114923
BaseRepresentation
bin100110110111001…
…1111000011001000
310100212202122211110
41031232133003020
510132313001212
6333221530320
744213040624
oct11556370310
93325678743
101304031432
1160a101130
123048739a0
1317a219c42
14c5290184
1579739a3c
hex4db9f0c8

1304031432 has 64 divisors (see below), whose sum is σ = 3567432960. Its totient is φ = 393940800.

The previous prime is 1304031401. The next prime is 1304031467. The reversal of 1304031432 is 2341304031.

It is a junction number, because it is equal to n+sod(n) for n = 1304031399 and 1304031408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79923 + ... + 94845.

It is an arithmetic number, because the mean of its divisors is an integer number (55741140).

Almost surely, 21304031432 is an apocalyptic number.

1304031432 is a gapful number since it is divisible by the number (12) 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 1304031432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783716480).

1304031432 is an abundant number, since it is smaller than the sum of its proper divisors (2263401528).

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

1304031432 is a wasteful number, since it uses less digits than its factorization.

1304031432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15274 (or 15270 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1304031432 is about 36111.3753822809. The cubic root of 1304031432 is about 1092.5198922556.

Adding to 1304031432 its reverse (2341304031), we get a palindrome (3645335463).

The spelling of 1304031432 in words is "one billion, three hundred four million, thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 331 662 993 1324 1986 2648 3641 3972 7282 7944 10923 14564 14923 21846 29128 29846 43692 44769 59692 87384 89538 119384 164153 179076 328306 358152 492459 656612 984918 1313224 1969836 3939672 4939513 9879026 14818539 19758052 29637078 39516104 54334643 59274156 108669286 118548312 163003929 217338572 326007858 434677144 652015716 1304031432