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345509478 = 232371134591
BaseRepresentation
bin10100100110000…
…000111001100110
3220002010200220100
4110212000321212
51201422300403
654141244530
711363532156
oct2446007146
9802120810
10345509478
11168038426
1297863746
13567732a2
1433c5c766
15204ed2a3
hex14980e66

345509478 has 48 divisors (see below), whose sum is σ = 775809216. Its totient is φ = 111041280.

The previous prime is 345509459. The next prime is 345509503. The reversal of 345509478 is 874905543.

345509478 is a `hidden beast` number, since 3 + 4 + 550 + 94 + 7 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72963 + ... + 77553.

It is an arithmetic number, because the mean of its divisors is an integer number (16162692).

Almost surely, 2345509478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345509478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387904608).

345509478 is an abundant number, since it is smaller than the sum of its proper divisors (430299738).

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

345509478 is a wasteful number, since it uses less digits than its factorization.

345509478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4749 (or 4746 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 345509478 is about 18587.8852481932. The cubic root of 345509478 is about 701.7029814658.

The spelling of 345509478 in words is "three hundred forty-five million, five hundred nine thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 9 18 37 74 111 113 222 226 333 339 666 678 1017 2034 4181 4591 8362 9182 12543 13773 25086 27546 37629 41319 75258 82638 169867 339734 509601 518783 1019202 1037566 1528803 1556349 3057606 3112698 4669047 9338094 19194971 38389942 57584913 115169826 172754739 345509478