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346714368 = 28371121341
BaseRepresentation
bin10100101010100…
…111000100000000
3220011101220200220
4110222213010000
51202224324433
654223143040
711410011030
oct2452470400
9804356626
10346714368
11168790700
1298144a80
1356aa5840
14340938c0
152068a2b3
hex14aa7100

346714368 has 432 divisors, whose sum is σ = 1278791808. Its totient is φ = 81100800.

The previous prime is 346714367. The next prime is 346714387. The reversal of 346714368 is 863417643.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346714367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8456428 + ... + 8456468.

Almost surely, 2346714368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346714368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639395904).

346714368 is an abundant number, since it is smaller than the sum of its proper divisors (932077440).

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

346714368 is a wasteful number, since it uses less digits than its factorization.

346714368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 77 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 346714368 is about 18620.2676672490. The cubic root of 346714368 is about 702.5177145434.

The spelling of 346714368 in words is "three hundred forty-six million, seven hundred fourteen thousand, three hundred sixty-eight".