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373998240 = 253257113373
BaseRepresentation
bin10110010010101…
…100001010100000
3222001202002010200
4112102230022200
51231220420430
6101040025200
712160634610
oct2622541240
9861662120
10373998240
11182126460
12a5302200
135c639445
1437956a40
1522c79460
hex164ac2a0

373998240 has 288 divisors, whose sum is σ = 1591664256. Its totient is φ = 77690880.

The previous prime is 373998211. The next prime is 373998241. The reversal of 373998240 is 42899373.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (373998241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109194 + ... + 112566.

It is an arithmetic number, because the mean of its divisors is an integer number (5526612).

Almost surely, 2373998240 is an apocalyptic number.

373998240 is a gapful number since it is divisible by the number (30) 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 373998240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795832128).

373998240 is an abundant number, since it is smaller than the sum of its proper divisors (1217666016).

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

373998240 is a wasteful number, since it uses less digits than its factorization.

373998240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 373998240 is about 19339.0341020435. The cubic root of 373998240 is about 720.4820845499.

The spelling of 373998240 in words is "three hundred seventy-three million, nine hundred ninety-eight thousand, two hundred forty".