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190348704 = 2535713269
BaseRepresentation
bin10110101100001…
…11110110100000
3111021011201100000
423112013312200
5342212124304
630515500000
74500636330
oct1326076640
9437151300
10190348704
11984a0887
12538b7600
1330588390
141b3cd0c0
1511a9e939
hexb587da0

190348704 has 288 divisors, whose sum is σ = 693463680. Its totient is φ = 50015232.

The previous prime is 190348703. The next prime is 190348709. The reversal of 190348704 is 407843091.

It is a happy number.

190348704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1903487042 = 72465258228959232, which contains 22 as substring.

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 (190348703) 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, 707482 + ... + 707750.

It is an arithmetic number, because the mean of its divisors is an integer number (2407860).

Almost surely, 2190348704 is an apocalyptic number.

190348704 is a gapful number since it is divisible by the number (14) 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 190348704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346731840).

190348704 is an abundant number, since it is smaller than the sum of its proper divisors (503114976).

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

190348704 is a wasteful number, since it uses less digits than its factorization.

190348704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 190348704 is about 13796.6917773791. The cubic root of 190348704 is about 575.2411882945.

The spelling of 190348704 in words is "one hundred ninety million, three hundred forty-eight thousand, seven hundred four".