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1332267272 = 2372231071381
BaseRepresentation
bin100111101101000…
…1100100100001000
310102211220012010022
41033122030210020
510212030023042
6340111040012
745005041100
oct11732144410
93384805108
101332267272
11624037136
12312210008
13183024c3b
14c8d20200
157be65cd2
hex4f68c908

1332267272 has 96 divisors (see below), whose sum is σ = 3062733120. Its totient is φ = 540650880.

The previous prime is 1332267257. The next prime is 1332267281. The reversal of 1332267272 is 2727622331.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 964022 + ... + 965402.

It is an arithmetic number, because the mean of its divisors is an integer number (31903470).

Almost surely, 21332267272 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 1332267272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531366560).

1332267272 is an abundant number, since it is smaller than the sum of its proper divisors (1730465848).

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

1332267272 is a wasteful number, since it uses less digits than its factorization.

1332267272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1520 counting only the distinct ones).

The product of its digits is 42336, while the sum is 35.

The square root of 1332267272 is about 36500.2366019729. The cubic root of 1332267272 is about 1100.3490000039.

The spelling of 1332267272 in words is "one billion, three hundred thirty-two million, two hundred sixty-seven thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 92 98 107 161 184 196 214 322 392 428 644 749 856 1127 1288 1381 1498 2254 2461 2762 2996 4508 4922 5243 5524 5992 9016 9667 9844 10486 11048 17227 19334 19688 20972 31763 34454 38668 41944 63526 67669 68908 77336 120589 127052 135338 137816 147767 222341 241178 254104 270676 295534 444682 482356 541352 591068 889364 964712 1034369 1182136 1556387 1778728 2068738 3112774 3398641 4137476 6225548 6797282 7240583 8274952 12451096 13594564 14481166 23790487 27189128 28962332 47580974 57924664 95161948 166533409 190323896 333066818 666133636 1332267272