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144435400 = 235217231847
BaseRepresentation
bin10001001101111…
…10100011001000
3101001210002010021
420212332203020
5243433413100
622155430224
73402452314
oct1046764310
9331702107
10144435400
11745914aa
1240455374
1323c01145
141527ab44
15ca30a1a
hex89be8c8

144435400 has 96 divisors (see below), whose sum is σ = 371226240. Its totient is φ = 51983360.

The previous prime is 144435337. The next prime is 144435407. The reversal of 144435400 is 4534441.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144435407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77277 + ... + 79123.

It is an arithmetic number, because the mean of its divisors is an integer number (3866940).

Almost surely, 2144435400 is an apocalyptic number.

144435400 is a gapful number since it is divisible by the number (10) 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 144435400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185613120).

144435400 is an abundant number, since it is smaller than the sum of its proper divisors (226790840).

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

144435400 is a wasteful number, since it uses less digits than its factorization.

144435400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 144435400 is about 12018.1279740232. The cubic root of 144435400 is about 524.6760208230.

Adding to 144435400 its reverse (4534441), we get a palindrome (148969841).

The spelling of 144435400 in words is "one hundred forty-four million, four hundred thirty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 23 25 34 40 46 50 68 85 92 100 115 136 170 184 200 230 340 391 425 460 575 680 782 850 920 1150 1564 1700 1847 1955 2300 3128 3400 3694 3910 4600 7388 7820 9235 9775 14776 15640 18470 19550 31399 36940 39100 42481 46175 62798 73880 78200 84962 92350 125596 156995 169924 184700 212405 251192 313990 339848 369400 424810 627980 722177 784975 849620 1062025 1255960 1444354 1569950 1699240 2124050 2888708 3139900 3610885 4248100 5777416 6279800 7221770 8496200 14443540 18054425 28887080 36108850 72217700 144435400