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349404940 = 225127151911
BaseRepresentation
bin10100110100110…
…111111100001100
3220100110121110201
4110310313330030
51203421424230
654400543244
711441615203
oct2464677414
9810417421
10349404940
1116a259115
1299021b24
13575083b1
143459423a
1520a1c5ca
hex14d37f0c

349404940 has 48 divisors (see below), whose sum is σ = 745242624. Its totient is φ = 137592000.

The previous prime is 349404901. The next prime is 349404941. The reversal of 349404940 is 49404943.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 349404940.

It is not an unprimeable number, because it can be changed into a prime (349404941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383085 + ... + 383995.

It is an arithmetic number, because the mean of its divisors is an integer number (15525888).

Almost surely, 2349404940 is an apocalyptic number.

It is an amenable number.

349404940 is an abundant number, since it is smaller than the sum of its proper divisors (395837684).

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

349404940 is a wasteful number, since it uses less digits than its factorization.

349404940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 349404940 is about 18692.3765209242. The cubic root of 349404940 is about 704.3302594518.

The spelling of 349404940 in words is "three hundred forty-nine million, four hundred four thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 127 151 254 302 508 604 635 755 911 1270 1510 1822 2540 3020 3644 4555 9110 18220 19177 38354 76708 95885 115697 137561 191770 231394 275122 383540 462788 550244 578485 687805 1156970 1375610 2313940 2751220 17470247 34940494 69880988 87351235 174702470 349404940