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2945514240 = 2833585229
BaseRepresentation
bin1010111110010000…
…1111101100000000
321121021111121221000
42233210033230000
522013022423430
61204140332000
7132664313034
oct25744175400
97537447830
102945514240
111281736499
126a2544000
1337c318446
141dd2a21c4
151238cee60
hexaf90fb00

2945514240 has 144 divisors (see below), whose sum is σ = 10452607200. Its totient is φ = 785461248.

The previous prime is 2945514227. The next prime is 2945514269. The reversal of 2945514240 is 424155492.

It is a happy number.

2945514240 is a `hidden beast` number, since 29 + 4 + 551 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2945514195 and 2945514204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8055 + ... + 77174.

It is an arithmetic number, because the mean of its divisors is an integer number (72587550).

Almost surely, 22945514240 is an apocalyptic number.

2945514240 is a gapful number since it is divisible by the number (20) 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 2945514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5226303600).

2945514240 is an abundant number, since it is smaller than the sum of its proper divisors (7507092960).

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

2945514240 is an equidigital number, since it uses as much as digits as its factorization.

2945514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85259 (or 85239 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2945514240 is about 54272.5919779035. The cubic root of 2945514240 is about 1433.4648306736.

The spelling of 2945514240 in words is "two billion, nine hundred forty-five million, five hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 8640 11520 17280 34560 85229 170458 255687 340916 426145 511374 681832 767061 852290 1022748 1278435 1363664 1534122 1704580 2045496 2301183 2556870 2727328 3068244 3409160 3835305 4090992 4602366 5113740 5454656 6136488 6818320 7670610 8181984 9204732 10227480 10909312 11505915 12272976 13636640 15341220 16363968 18409464 20454960 21818624 23011830 24545952 27273280 30682440 32727936 36818928 40909920 46023660 49091904 54546560 61364880 65455872 73637856 81819840 92047320 98183808 109093120 122729760 147275712 163639680 184094640 196367616 245459520 294551424 327279360 368189280 490919040 589102848 736378560 981838080 1472757120 2945514240