Search a number
-
+
348700464 = 24347217219
BaseRepresentation
bin10100110010001…
…011111100110000
3220022010211010000
4110302023330300
51203231403324
654333510000
711432622300
oct2462137460
9808124100
10348700464
11169917902
1298942300
135731c848
143444d600
152092d9c9
hex14c8bf30

348700464 has 450 divisors, whose sum is σ = 1312774980. Its totient is φ = 88833024.

The previous prime is 348700463. The next prime is 348700477. The reversal of 348700464 is 464007843.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (348700463) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 18352647 + ... + 18352665.

Almost surely, 2348700464 is an apocalyptic number.

348700464 is a gapful number since it is divisible by the number (34) 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 348700464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656387490).

348700464 is an abundant number, since it is smaller than the sum of its proper divisors (964074516).

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

348700464 is a wasteful number, since it uses less digits than its factorization.

348700464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 348700464 is about 18673.5230741282. The cubic root of 348700464 is about 703.8565802024.

The spelling of 348700464 in words is "three hundred forty-eight million, seven hundred thousand, four hundred sixty-four".