Search a number
-
+
674058000 = 243537111459
BaseRepresentation
bin101000001011010…
…100111100010000
31201222100200202010
4220023110330100
52340024324000
6150515222520
722463253450
oct5013247420
91658320663
10674058000
11316540830
121698a7a40
13a98584b5
1465743d60
153e29ad50
hex282d4f10

674058000 has 320 divisors, whose sum is σ = 2711255040. Its totient is φ = 139968000.

The previous prime is 674057977. The next prime is 674058001. The reversal of 674058000 is 850476.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (674058001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 461271 + ... + 462729.

It is an arithmetic number, because the mean of its divisors is an integer number (8472672).

Almost surely, 2674058000 is an apocalyptic number.

674058000 is a gapful number since it is divisible by the number (60) 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 674058000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355627520).

674058000 is an abundant number, since it is smaller than the sum of its proper divisors (2037197040).

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

674058000 is a wasteful number, since it uses less digits than its factorization.

674058000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 674058000 is about 25962.6269857270. The cubic root of 674058000 is about 876.7970685718.

The spelling of 674058000 in words is "six hundred seventy-four million, fifty-eight thousand".