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50340400 = 24521117673
BaseRepresentation
bin1100000000001…
…0001000110000
310111201120001021
43000002020300
5100341343100
64554545224
71150613005
oct300021060
9114646037
1050340400
1126463540
1214a38214
13a577326
1469858ac
154645a1a
hex3002230

50340400 has 120 divisors (see below), whose sum is σ = 139906224. Its totient is φ = 17203200.

The previous prime is 50340377. The next prime is 50340403. The reversal of 50340400 is 404305.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (50340403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74464 + ... + 75136.

Almost surely, 250340400 is an apocalyptic number.

50340400 is a gapful number since it is divisible by the number (50) 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 50340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69953112).

50340400 is an abundant number, since it is smaller than the sum of its proper divisors (89565824).

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

50340400 is a wasteful number, since it uses less digits than its factorization.

50340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 50340400 is about 7095.0968985631. The cubic root of 50340400 is about 369.2372893257.

Adding to 50340400 its reverse (404305), we get a palindrome (50744705).

The spelling of 50340400 in words is "fifty million, three hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 25 34 40 44 50 55 68 80 85 88 100 110 136 170 176 187 200 220 272 275 340 374 400 425 440 550 673 680 748 850 880 935 1100 1346 1360 1496 1700 1870 2200 2692 2992 3365 3400 3740 4400 4675 5384 6730 6800 7403 7480 9350 10768 11441 13460 14806 14960 16825 18700 22882 26920 29612 33650 37015 37400 45764 53840 57205 59224 67300 74030 74800 91528 114410 118448 125851 134600 148060 183056 185075 228820 251702 269200 286025 296120 370150 457640 503404 572050 592240 629255 740300 915280 1006808 1144100 1258510 1480600 2013616 2288200 2517020 2961200 3146275 4576400 5034040 6292550 10068080 12585100 25170200 50340400