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3245529144 = 23311133312857
BaseRepresentation
bin1100000101110010…
…1101100000111000
322101012000222000010
43001130231200320
523121323413034
61254014541520
7143266354044
oct30134554070
98335028003
103245529144
1114160200a0
12766b078a0
133c951cc60
1422b07b024
1513ede33e9
hexc172d838

3245529144 has 128 divisors (see below), whose sum is σ = 9564468480. Its totient is φ = 904780800.

The previous prime is 3245529107. The next prime is 3245529151. The reversal of 3245529144 is 4419255423.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 1134564 + ... + 1137420.

It is an arithmetic number, because the mean of its divisors is an integer number (74722410).

Almost surely, 23245529144 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 3245529144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4782234240).

3245529144 is an abundant number, since it is smaller than the sum of its proper divisors (6318939336).

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

3245529144 is a wasteful number, since it uses less digits than its factorization.

3245529144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3221 (or 3217 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 3245529144 is about 56969.5457591159. The cubic root of 3245529144 is about 1480.5684972085.

The spelling of 3245529144 in words is "three billion, two hundred forty-five million, five hundred twenty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 331 429 572 662 858 993 1144 1324 1716 1986 2648 2857 3432 3641 3972 4303 5714 7282 7944 8571 8606 10923 11428 12909 14564 17142 17212 21846 22856 25818 29128 31427 34284 34424 37141 43692 47333 51636 62854 68568 74282 87384 94281 94666 103272 111423 125708 141999 148564 188562 189332 222846 251416 283998 297128 377124 378664 408551 445692 567996 754248 817102 891384 945667 1135992 1225653 1634204 1891334 2451306 2837001 3268408 3782668 4902612 5674002 7565336 9805224 10402337 11348004 12293671 20804674 22696008 24587342 31207011 36881013 41609348 49174684 62414022 73762026 83218696 98349368 124828044 135230381 147524052 249656088 270460762 295048104 405691143 540921524 811382286 1081843048 1622764572 3245529144