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3424745160 = 233253726949
BaseRepresentation
bin1100110000100001…
…0111011011001000
322211200021002011100
43030020113123020
524003213321120
61323500101400
7150603565524
oct31410273310
98750232140
103424745160
1114a81a7801
127b6b34860
134276ab035
14246bacd84
151509e4490
hexcc2176c8

3424745160 has 144 divisors (see below), whose sum is σ = 11441020500. Its totient is φ = 888454656.

The previous prime is 3424745113. The next prime is 3424745161. The reversal of 3424745160 is 615474243.

3424745160 is a `hidden beast` number, since 3 + 424 + 74 + 5 + 160 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3303260676 + 121484484 = 57474^2 + 11022^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3424745161) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 489366 + ... + 496314.

Almost surely, 23424745160 is an apocalyptic number.

3424745160 is a gapful number since it is divisible by the number (30) 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 3424745160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5720510250).

3424745160 is an abundant number, since it is smaller than the sum of its proper divisors (8016275340).

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

3424745160 is a wasteful number, since it uses less digits than its factorization.

3424745160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7040 (or 6996 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3424745160 is about 58521.3222680418. The cubic root of 3424745160 is about 1507.3337390791. Note that the first 3 decimals are identical.

The spelling of 3424745160 in words is "three billion, four hundred twenty-four million, seven hundred forty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1369 1480 1665 2220 2664 2738 3330 4107 4440 5476 6660 6845 6949 8214 10952 12321 13320 13690 13898 16428 20535 20847 24642 27380 27796 32856 34745 41070 41694 49284 54760 55592 61605 62541 69490 82140 83388 98568 104235 123210 125082 138980 164280 166776 208470 246420 250164 257113 277960 312705 416940 492840 500328 514226 625410 771339 833880 1028452 1250820 1285565 1542678 2056904 2314017 2501640 2571130 3085356 3856695 4628034 5142260 6170712 7713390 9256068 9513181 10284520 11570085 15426780 18512136 19026362 23140170 28539543 30853560 38052724 46280340 47565905 57079086 76105448 85618629 92560680 95131810 114158172 142697715 171237258 190263620 228316344 285395430 342474516 380527240 428093145 570790860 684949032 856186290 1141581720 1712372580 3424745160