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673842816 = 27323715809
BaseRepresentation
bin101000001010100…
…000011010000000
31201221221202120100
4220022200122000
52340000432231
6150510442400
722461366213
oct5012403200
91657852510
10673842816
11316404099
12169803400
13a97b157a
14656c977a
153e2571e6
hex282a0680

673842816 has 96 divisors (see below), whose sum is σ = 1991585700. Its totient is φ = 218529792.

The previous prime is 673842803. The next prime is 673842839. The reversal of 673842816 is 618248376.

It can be written as a sum of positive squares in 2 ways, for example, as 670602816 + 3240000 = 25896^2 + 1800^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34720 + ... + 50528.

Almost surely, 2673842816 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 673842816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995792850).

673842816 is an abundant number, since it is smaller than the sum of its proper divisors (1317742884).

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

673842816 is a wasteful number, since it uses less digits than its factorization.

673842816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15866 (or 15851 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 673842816 is about 25958.4825442475. The cubic root of 673842816 is about 876.7037567297.

The spelling of 673842816 in words is "six hundred seventy-three million, eight hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 288 296 333 384 444 576 592 666 888 1152 1184 1332 1776 2368 2664 3552 4736 5328 7104 10656 14208 15809 21312 31618 42624 47427 63236 94854 126472 142281 189708 252944 284562 379416 505888 569124 584933 758832 1011776 1138248 1169866 1517664 1754799 2023552 2276496 2339732 3035328 3509598 4552992 4679464 5264397 6070656 7019196 9105984 9358928 10528794 14038392 18211968 18717856 21057588 28076784 37435712 42115176 56153568 74871424 84230352 112307136 168460704 224614272 336921408 673842816