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1334284272 = 2433191491091
BaseRepresentation
bin100111110000111…
…1000111111110000
310102222200122221000
41033201320333300
510213034044042
6340222202000
745031141416
oct11741707760
93388618830
101334284272
11625194582
12312a23300
13183580029
14c92c72b6
157c21374c
hex4f878ff0

1334284272 has 160 divisors (see below), whose sum is σ = 4062240000. Its totient is φ = 418141440.

The previous prime is 1334284271. The next prime is 1334284277. The reversal of 1334284272 is 2724824331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334284271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1222447 + ... + 1223537.

It is an arithmetic number, because the mean of its divisors is an integer number (25389000).

Almost surely, 21334284272 is an apocalyptic number.

1334284272 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 1334284272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031120000).

1334284272 is an abundant number, since it is smaller than the sum of its proper divisors (2727955728).

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

1334284272 is a wasteful number, since it uses less digits than its factorization.

1334284272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1264 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 1334284272 is about 36527.8561100977. The cubic root of 1334284272 is about 1100.9040149749.

The spelling of 1334284272 in words is "one billion, three hundred thirty-four million, two hundred eighty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 149 152 171 216 228 298 304 342 432 447 456 513 596 684 894 912 1026 1091 1192 1341 1368 1788 2052 2182 2384 2682 2736 2831 3273 3576 4023 4104 4364 5364 5662 6546 7152 8046 8208 8493 8728 9819 10728 11324 13092 16092 16986 17456 19638 20729 21456 22648 25479 26184 29457 32184 33972 39276 41458 45296 50958 52368 58914 62187 64368 67944 76437 78552 82916 101916 117828 124374 135888 152874 157104 162559 165832 186561 203832 235656 248748 305748 325118 331664 373122 407664 471312 487677 497496 559683 611496 650236 746244 975354 994992 1119366 1222992 1300472 1463031 1492488 1950708 2238732 2600944 2926062 2984976 3088621 3901416 4389093 4477464 5852124 6177242 7802832 8778186 8954928 9265863 11704248 12354484 17556372 18531726 23408496 24708968 27797589 35112744 37063452 49417936 55595178 70225488 74126904 83392767 111190356 148253808 166785534 222380712 333571068 444761424 667142136 1334284272