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674829312 = 21031072053
BaseRepresentation
bin101000001110010…
…001010000000000
31202000210212210020
4220032101100000
52340224014222
6150543533440
722502645253
oct5016212000
91660725706
10674829312
11316a18283
12169bba280
13a9a685b1
14658a509a
153e39e65c
hex28391400

674829312 has 88 divisors (see below), whose sum is σ = 1816360416. Its totient is φ = 222732288.

The previous prime is 674829307. The next prime is 674829317. The reversal of 674829312 is 213928476.

It is an interprime number because it is at equal distance from previous prime (674829307) and next prime (674829317).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674829317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327678 + ... + 329730.

Almost surely, 2674829312 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 674829312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908180208).

674829312 is an abundant number, since it is smaller than the sum of its proper divisors (1141531104).

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

674829312 is a wasteful number, since it uses less digits than its factorization.

674829312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2165 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 674829312 is about 25977.4770137517. The cubic root of 674829312 is about 877.1313752691.

The spelling of 674829312 in words is "six hundred seventy-four million, eight hundred twenty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 256 321 384 428 512 642 768 856 1024 1284 1536 1712 2053 2568 3072 3424 4106 5136 6159 6848 8212 10272 12318 13696 16424 20544 24636 27392 32848 41088 49272 54784 65696 82176 98544 109568 131392 164352 197088 219671 262784 328704 394176 439342 525568 659013 788352 878684 1051136 1318026 1576704 1757368 2102272 2636052 3153408 3514736 5272104 6306816 7029472 10544208 14058944 21088416 28117888 42176832 56235776 84353664 112471552 168707328 224943104 337414656 674829312