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1338330264 = 233314738273
BaseRepresentation
bin100111111000101…
…0100110010011000
310110021022012222120
41033301110302120
510220103032024
6340445021240
745110422335
oct11761246230
93407265876
101338330264
116274a8377
12314254820
131843687cb
14c9a5b98c
157c762479
hex4fc54c98

1338330264 has 64 divisors (see below), whose sum is σ = 3527331840. Its totient is φ = 422522880.

The previous prime is 1338330247. The next prime is 1338330269. The reversal of 1338330264 is 4620338331.

It is a super-2 number, since 2×13383302642 = 3582255791076619392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338330269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15832 + ... + 54104.

It is an arithmetic number, because the mean of its divisors is an integer number (55114560).

Almost surely, 21338330264 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 1338330264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763665920).

1338330264 is an abundant number, since it is smaller than the sum of its proper divisors (2189001576).

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

1338330264 is a wasteful number, since it uses less digits than its factorization.

1338330264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38360 (or 38356 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 1338330264 is about 36583.1964705109. The cubic root of 1338330264 is about 1102.0156606833.

Adding to 1338330264 its reverse (4620338331), we get a palindrome (5958668595).

The spelling of 1338330264 in words is "one billion, three hundred thirty-eight million, three hundred thirty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 31 47 62 93 94 124 141 186 188 248 282 372 376 564 744 1128 1457 2914 4371 5828 8742 11656 17484 34968 38273 76546 114819 153092 229638 306184 459276 918552 1186463 1798831 2372926 3559389 3597662 4745852 5396493 7118778 7195324 9491704 10792986 14237556 14390648 21585972 28475112 43171944 55763761 111527522 167291283 223055044 334582566 446110088 669165132 1338330264