Search a number
-
+
674170464 = 253111933601
BaseRepresentation
bin101000001011110…
…000011001100000
31201222120102000110
4220023300121200
52340041423324
6150521451320
722464232362
oct5013603140
91658512013
10674170464
11316608280
12169940b40
13a9897746
1465772d32
153e2be329
hex282f0660

674170464 has 96 divisors (see below), whose sum is σ = 2032248960. Its totient is φ = 193536000.

The previous prime is 674170463. The next prime is 674170481. The reversal of 674170464 is 464071476.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674170463) 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 15 ways as a sum of consecutive naturals, for example, 3264 + ... + 36864.

It is an arithmetic number, because the mean of its divisors is an integer number (21169260).

Almost surely, 2674170464 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 674170464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016124480).

674170464 is an abundant number, since it is smaller than the sum of its proper divisors (1358078496).

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

674170464 is a wasteful number, since it uses less digits than its factorization.

674170464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33644 (or 33636 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 674170464 is about 25964.7927779137. The cubic root of 674170464 is about 876.8458292729.

The spelling of 674170464 in words is "six hundred seventy-four million, one hundred seventy thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 132 152 176 209 228 264 304 352 418 456 528 608 627 836 912 1056 1254 1672 1824 2508 3344 5016 6688 10032 20064 33601 67202 100803 134404 201606 268808 369611 403212 537616 638419 739222 806424 1075232 1108833 1276838 1478444 1612848 1915257 2217666 2553676 2956888 3225696 3830514 4435332 5107352 5913776 7022609 7661028 8870664 10214704 11827552 14045218 15322056 17741328 20429408 21067827 28090436 30644112 35482656 42135654 56180872 61288224 84271308 112361744 168542616 224723488 337085232 674170464