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145345400 = 23522333119
BaseRepresentation
bin10001010100111…
…00101101111000
3101010111022101222
420222130231320
5244202023100
622231131212
73413262344
oct1052345570
9333438358
10145345400
1175053172
1240813b08
132415c3c5
1415436624
15cb60485
hex8a9cb78

145345400 has 48 divisors (see below), whose sum is σ = 339487200. Its totient is φ = 57870080.

The previous prime is 145345399. The next prime is 145345411. The reversal of 145345400 is 4543541.

145345400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1453454002 = 42250570602320000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145345400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45041 + ... + 48159.

It is an arithmetic number, because the mean of its divisors is an integer number (7072650).

Almost surely, 2145345400 is an apocalyptic number.

145345400 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 145345400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169743600).

145345400 is an abundant number, since it is smaller than the sum of its proper divisors (194141800).

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

145345400 is a wasteful number, since it uses less digits than its factorization.

145345400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 145345400 is about 12055.9280024393. The cubic root of 145345400 is about 525.7756034169.

Adding to 145345400 its reverse (4543541), we get a palindrome (149888941).

The spelling of 145345400 in words is "one hundred forty-five million, three hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 233 466 932 1165 1864 2330 3119 4660 5825 6238 9320 11650 12476 15595 23300 24952 31190 46600 62380 77975 124760 155950 311900 623800 726727 1453454 2906908 3633635 5813816 7267270 14534540 18168175 29069080 36336350 72672700 145345400