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5400002340 = 2232579401947
BaseRepresentation
bin1010000011101110…
…10111111100100100
3111221100001112121200
411001313113330210
542024400033330
62251500442500
7250550156025
oct50167277444
914840045550
105400002340
112321184757
121068549430
136809a1275
14393266c4c
1521911aa60
hex141dd7f24

5400002340 has 144 divisors (see below), whose sum is σ = 16646273280. Its totient is φ = 1416729600.

The previous prime is 5400002329. The next prime is 5400002347. The reversal of 5400002340 is 432000045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5400002347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5701747 + ... + 5702693.

It is an arithmetic number, because the mean of its divisors is an integer number (115599120).

Almost surely, 25400002340 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 5400002340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8323136640).

5400002340 is an abundant number, since it is smaller than the sum of its proper divisors (11246270940).

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

5400002340 is a wasteful number, since it uses less digits than its factorization.

5400002340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 5400002340 is about 73484.7082051769. The cubic root of 5400002340 is about 1754.4108963426.

Adding to 5400002340 its reverse (432000045), we get a palindrome (5832002385).

The spelling of 5400002340 in words is "five billion, four hundred million, two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 316 395 401 474 711 790 802 947 948 1185 1203 1422 1580 1604 1894 2005 2370 2406 2841 2844 3555 3609 3788 4010 4735 4740 4812 5682 6015 7110 7218 8020 8523 9470 11364 12030 14205 14220 14436 17046 18045 18940 24060 28410 31679 34092 36090 42615 56820 63358 72180 74813 85230 95037 126716 149626 158395 170460 190074 224439 285111 299252 316790 374065 379747 380148 448878 475185 570222 633580 673317 748130 759494 897756 950370 1122195 1139241 1140444 1346634 1425555 1496260 1518988 1898735 1900740 2244390 2278482 2693268 2851110 3366585 3417723 3797470 4488780 4556964 5696205 5702220 6733170 6835446 7594940 11392410 13466340 13670892 17088615 22784820 30000013 34177230 60000026 68354460 90000039 120000052 150000065 180000078 270000117 300000130 360000156 450000195 540000234 600000260 900000390 1080000468 1350000585 1800000780 2700001170 5400002340