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345525400 = 235211157057
BaseRepresentation
bin10100100110000…
…100110010011000
3220002011111202001
4110212010302120
51201423303100
654141450344
711363626453
oct2446046230
9802144661
10345525400
11168049390
12978709b4
135677a5cc
1433c6449a
1520502d6a
hex14984c98

345525400 has 48 divisors (see below), whose sum is σ = 876383640. Its totient is φ = 125644800.

The previous prime is 345525379. The next prime is 345525413. The reversal of 345525400 is 4525543.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76329 + ... + 80728.

Almost surely, 2345525400 is an apocalyptic number.

It is an amenable number.

345525400 is an abundant number, since it is smaller than the sum of its proper divisors (530858240).

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

345525400 is a wasteful number, since it uses less digits than its factorization.

345525400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157084 (or 157075 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The square root of 345525400 is about 18588.3135329701. The cubic root of 345525400 is about 701.7137600831.

The spelling of 345525400 in words is "three hundred forty-five million, five hundred twenty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 157057 314114 628228 785285 1256456 1570570 1727627 3141140 3455254 3926425 6282280 6910508 7852850 8638135 13821016 15705700 17276270 31411400 34552540 43190675 69105080 86381350 172762700 345525400