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331421440 = 285747787
BaseRepresentation
bin10011110000010…
…001011100000000
3212002121221202011
4103300101130000
51134320441230
652515302304
711133015160
oct2360213400
9762557664
10331421440
11160095919
1292baa994
135387ca7c
14320325a0
151e168e2a
hex13c11700

331421440 has 144 divisors (see below), whose sum is σ = 927747072. Its totient is φ = 111071232.

The previous prime is 331421423. The next prime is 331421471. The reversal of 331421440 is 44124133.

It is a congruent number.

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, 420727 + ... + 421513.

It is an arithmetic number, because the mean of its divisors is an integer number (6442688).

Almost surely, 2331421440 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 331421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463873536).

331421440 is an abundant number, since it is smaller than the sum of its proper divisors (596325632).

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

331421440 is an equidigital number, since it uses as much as digits as its factorization.

331421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 331421440 is about 18204.9839329784. The cubic root of 331421440 is about 692.0330989770.

Adding to 331421440 its reverse (44124133), we get a palindrome (375545573).

The spelling of 331421440 in words is "three hundred thirty-one million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 56 64 70 80 94 112 128 140 160 188 224 235 256 280 320 329 376 448 470 560 640 658 752 787 896 940 1120 1280 1316 1504 1574 1645 1792 1880 2240 2632 3008 3148 3290 3760 3935 4480 5264 5509 6016 6296 6580 7520 7870 8960 10528 11018 12032 12592 13160 15040 15740 21056 22036 25184 26320 27545 30080 31480 36989 42112 44072 50368 52640 55090 60160 62960 73978 84224 88144 100736 105280 110180 125920 147956 176288 184945 201472 210560 220360 251840 258923 295912 352576 369890 421120 440720 503680 517846 591824 705152 739780 881440 1007360 1035692 1183648 1294615 1410304 1479560 1762880 2071384 2367296 2589230 2959120 3525760 4142768 4734592 5178460 5918240 7051520 8285536 9469184 10356920 11836480 16571072 20713840 23672960 33142144 41427680 47345920 66284288 82855360 165710720 331421440