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1220303340 = 223359192459
BaseRepresentation
bin100100010111100…
…0101100111101100
310011001012211111000
41020233011213230
54444344201330
6321031200300
742145256454
oct11057054754
93131184430
101220303340
11576913a63
122a0816090
13165a829a9
14b80d6d64
15721eb560
hex48bc59ec

1220303340 has 96 divisors (see below), whose sum is σ = 3802176000. Its totient is φ = 324927936.

The previous prime is 1220303339. The next prime is 1220303363. The reversal of 1220303340 is 433030221.

1220303340 is a `hidden beast` number, since 1 + 2 + 20 + 303 + 340 = 666.

1220303340 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495031 + ... + 497489.

It is an arithmetic number, because the mean of its divisors is an integer number (39606000).

Almost surely, 21220303340 is an apocalyptic number.

1220303340 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 1220303340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901088000).

1220303340 is an abundant number, since it is smaller than the sum of its proper divisors (2581872660).

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

1220303340 is a wasteful number, since it uses less digits than its factorization.

1220303340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3396 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1220303340 is about 34932.8404227312. The cubic root of 1220303340 is about 1068.6182823206.

Adding to 1220303340 its reverse (433030221), we get a palindrome (1653333561).

The spelling of 1220303340 in words is "one billion, two hundred twenty million, three hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 919 1838 2459 2757 3676 4595 4918 5514 7377 8271 9190 9836 11028 12295 13785 14754 16542 18380 22131 24590 24813 27570 29508 33084 36885 41355 44262 49180 49626 55140 66393 73770 82710 88524 99252 110655 124065 132786 147540 165420 221310 248130 265572 331965 442620 496260 663930 1327860 2259821 4519642 6779463 9039284 11299105 13558926 20338389 22598210 27117852 33897315 40676778 45196420 61015167 67794630 81353556 101691945 122030334 135589260 203383890 244060668 305075835 406767780 610151670 1220303340