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1266034432 = 281332251
BaseRepresentation
bin100101101110110…
…0010011100000000
310021020021012202011
41023131202130000
510043101100212
6325343302304
743242054325
oct11335423400
93236235664
101266034432
1159a709453
122b3baa994
131723a5000
14c01dcb4c
15762314a7
hex4b762700

1266034432 has 72 divisors (see below), whose sum is σ = 2738837360. Its totient is φ = 584064000.

The previous prime is 1266034403. The next prime is 1266034433. The reversal of 1266034432 is 2344306621.

It is a junction number, because it is equal to n+sod(n) for n = 1266034394 and 1266034403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1266034433) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 561307 + ... + 563557.

Almost surely, 21266034432 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 1266034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369418680).

1266034432 is an abundant number, since it is smaller than the sum of its proper divisors (1472802928).

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

1266034432 is an frugal number, since it uses more digits than its factorization.

1266034432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 1266034432 is about 35581.3776012116. The cubic root of 1266034432 is about 1081.8038077476.

The spelling of 1266034432 in words is "one billion, two hundred sixty-six million, thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1352 1664 2197 2251 2704 3328 4394 4502 5408 8788 9004 10816 17576 18008 21632 29263 35152 36016 43264 58526 70304 72032 117052 140608 144064 234104 281216 288128 380419 468208 562432 576256 760838 936416 1521676 1872832 3043352 3745664 4945447 6086704 7491328 9890894 12173408 19781788 24346816 39563576 48693632 79127152 97387264 158254304 316508608 633017216 1266034432